764474880 has 480 divisors, whose sum is σ = 2875530240. Its totient is φ = 172523520.

The previous prime is 764474873. The next prime is 764474939. The reversal of 764474880 is 88474467.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24660465 + ... + 24660495.

It is an arithmetic number, because the mean of its divisors is an integer number (5990688).

Almost surely, 2^764474880 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 764474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437765120).

764474880 is an abundant number, since it is smaller than the sum of its proper divisors (2111055360).

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

764474880 is a wasteful number, since it uses less digits than its factorization.

764474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 764474880 is about 27649.1388654330. The cubic root of 764474880 is about 914.3681145972.

The spelling of 764474880 in words is "seven hundred sixty-four million, four hundred seventy-four thousand, eight hundred eighty".