752792640 has 224 divisors, whose sum is σ = 2554467840. Its totient is φ = 187170816.

The previous prime is 752792629. The next prime is 752792681. The reversal of 752792640 is 46297257.

It is a junction number, because it is equal to n+sod(n) for n = 752792592 and 752792601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3149641 + ... + 3149879.

Almost surely, 2^752792640 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 752792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277233920).

752792640 is an abundant number, since it is smaller than the sum of its proper divisors (1801675200).

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

752792640 is a wasteful number, since it uses less digits than its factorization.

752792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 752792640 is about 27437.0668986319. The cubic root of 752792640 is about 909.6865804685.

The spelling of 752792640 in words is "seven hundred fifty-two million, seven hundred ninety-two thousand, six hundred forty".