766832400 has 480 divisors, whose sum is σ = 2979868800. Its totient is φ = 186624000.

The previous prime is 766832393. The next prime is 766832411. The reversal of 766832400 is 4238667.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7592350 + ... + 7592450.

It is an arithmetic number, because the mean of its divisors is an integer number (6208060).

Almost surely, 2^766832400 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 766832400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489934400).

766832400 is an abundant number, since it is smaller than the sum of its proper divisors (2213036400).

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

766832400 is a wasteful number, since it uses less digits than its factorization.

766832400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 766832400 is about 27691.7388403112. The cubic root of 766832400 is about 915.3070724260.

The spelling of 766832400 in words is "seven hundred sixty-six million, eight hundred thirty-two thousand, four hundred".