747619920 has 90 divisors (see below), whose sum is σ = 2513223258. Its totient is φ = 199169664.

The previous prime is 747619919. The next prime is 747619921. The reversal of 747619920 is 29916747.

747619920 is a `hidden beast` number, since 7 + 4 + 7 + 619 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (747619919) and next prime (747619921).

It can be written as a sum of positive squares in only one way, i.e., 598095936 + 149523984 = 24456^2 + 12228^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (747619921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 733171 + ... + 734189.

Almost surely, 2^747619920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 747619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1256611629).

747619920 is an abundant number, since it is smaller than the sum of its proper divisors (1765603338).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

747619920 is a wasteful number, since it uses less digits than its factorization.

747619920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 747619920 is about 27342.6392288674. The cubic root of 747619920 is about 907.5981907734.

Multiplying 747619920 by its sum of digits (45), we get a square (33642896400 = 183420²).

747619920 divided by its sum of digits (45) gives a square (16613776 = 4076²).

It can be divided in two parts, 74761 and 9920, that added together give a square (84681 = 291²).

The spelling of 747619920 in words is "seven hundred forty-seven million, six hundred nineteen thousand, nine hundred twenty".