752497680 has 160 divisors (see below), whose sum is σ = 2563228800. Its totient is φ = 181104640.

The previous prime is 752497663. The next prime is 752497699. The reversal of 752497680 is 86794257.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 392404 + ... + 394316.

It is an arithmetic number, because the mean of its divisors is an integer number (16020180).

Almost surely, 2^752497680 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 752497680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281614400).

752497680 is an abundant number, since it is smaller than the sum of its proper divisors (1810731120).

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

752497680 is a wasteful number, since it uses less digits than its factorization.

752497680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2089 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The square root of 752497680 is about 27431.6911618661. The cubic root of 752497680 is about 909.5677534982.

The spelling of 752497680 in words is "seven hundred fifty-two million, four hundred ninety-seven thousand, six hundred eighty".