760508672 has 144 divisors (see below), whose sum is σ = 1940851584. Its totient is φ = 288768000.

The previous prime is 760508669. The next prime is 760508699. The reversal of 760508672 is 276805067.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (41).

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 15 ways as a sum of consecutive naturals, for example, 807722 + ... + 808662.

It is an arithmetic number, because the mean of its divisors is an integer number (13478136).

Almost surely, 2^760508672 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 760508672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970425792).

760508672 is an abundant number, since it is smaller than the sum of its proper divisors (1180342912).

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

760508672 is a wasteful number, since it uses less digits than its factorization.

760508672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 41.

The square root of 760508672 is about 27577.3216973658. The cubic root of 760508672 is about 912.7840799877.

The spelling of 760508672 in words is "seven hundred sixty million, five hundred eight thousand, six hundred seventy-two".