746919720 has 96 divisors (see below), whose sum is σ = 2458310400. Its totient is φ = 196649856.

The previous prime is 746919713. The next prime is 746919727. The reversal of 746919720 is 27919647.

It is an interprime number because it is at equal distance from previous prime (746919713) and next prime (746919727).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (746919727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15309 + ... + 41571.

It is an arithmetic number, because the mean of its divisors is an integer number (25607400).

Almost surely, 2^746919720 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 746919720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229155200).

746919720 is an abundant number, since it is smaller than the sum of its proper divisors (1711390680).

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

746919720 is a wasteful number, since it uses less digits than its factorization.

746919720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26359 (or 26352 counting only the distinct ones).

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

The square root of 746919720 is about 27329.8320521733. The cubic root of 746919720 is about 907.3147585387.

The spelling of 746919720 in words is "seven hundred forty-six million, nine hundred nineteen thousand, seven hundred twenty".