766871680 has 64 divisors (see below), whose sum is σ = 1850290200. Its totient is φ = 303906816.

The previous prime is 766871671. The next prime is 766871713. The reversal of 766871680 is 86178667.

It can be written as a sum of positive squares in 4 ways, for example, as 561121344 + 205750336 = 23688^2 + 14344^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64264 + ... + 75256.

Almost surely, 2^766871680 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 766871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (925145100).

766871680 is an abundant number, since it is smaller than the sum of its proper divisors (1083418520).

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

766871680 is a wasteful number, since it uses less digits than its factorization.

766871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121 (or 11109 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 49.

The square root of 766871680 is about 27692.4480680203. The cubic root of 766871680 is about 915.3227006336.

The spelling of 766871680 in words is "seven hundred sixty-six million, eight hundred seventy-one thousand, six hundred eighty".