760872960000 has 840 divisors, whose sum is σ = 2882659878560. Its totient is φ = 198180864000.

The previous prime is 760872959981. The next prime is 760872960011. The reversal of 760872960000 is 69278067.

It is a happy number.

It is a super-2 number, since 2×760872960000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17694719979 + ... + 17694720021.

Almost surely, 2^760872960000 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 760872960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441329939280).

760872960000 is an abundant number, since it is smaller than the sum of its proper divisors (2121786918560).

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

760872960000 is an frugal number, since it uses more digits than its factorization.

760872960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 760872960000 in words is "seven hundred sixty billion, eight hundred seventy-two million, nine hundred sixty thousand".