764871680 has 176 divisors, whose sum is σ = 1949399040. Its totient is φ = 287539200.

The previous prime is 764871661. The next prime is 764871689. The reversal of 764871680 is 86178467.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764871689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9681881 + ... + 9681959.

Almost surely, 2^764871680 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 764871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974699520).

764871680 is an abundant number, since it is smaller than the sum of its proper divisors (1184527360).

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

764871680 is a wasteful number, since it uses less digits than its factorization.

764871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The square root of 764871680 is about 27656.3135648987. The cubic root of 764871680 is about 914.5262878834.

The spelling of 764871680 in words is "seven hundred sixty-four million, eight hundred seventy-one thousand, six hundred eighty".