747790560 has 288 divisors, whose sum is σ = 2948635872. Its totient is φ = 170557440.

The previous prime is 747790523. The next prime is 747790573. The reversal of 747790560 is 65097747.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×747790560² = 1118381443250227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267892 + ... + 270668.

It is an arithmetic number, because the mean of its divisors is an integer number (10238319).

Almost surely, 2^747790560 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 747790560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474317936).

747790560 is an abundant number, since it is smaller than the sum of its proper divisors (2200845312).

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

747790560 is a wasteful number, since it uses less digits than its factorization.

747790560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2826 (or 2815 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The square root of 747790560 is about 27345.7594518785. The cubic root of 747790560 is about 907.6672368977.

The spelling of 747790560 in words is "seven hundred forty-seven million, seven hundred ninety thousand, five hundred sixty".