766331904 has 176 divisors, whose sum is σ = 2274298880. Its totient is φ = 227819520.

The previous prime is 766331869. The next prime is 766331911. The reversal of 766331904 is 409133667.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237707 + ... + 1238325.

Almost surely, 2^766331904 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 766331904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137149440).

766331904 is an abundant number, since it is smaller than the sum of its proper divisors (1507966976).

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

766331904 is a wasteful number, since it uses less digits than its factorization.

766331904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 766331904 is about 27682.7004463076. The cubic root of 766331904 is about 915.1078949479.

The spelling of 766331904 in words is "seven hundred sixty-six million, three hundred thirty-one thousand, nine hundred four".