760832016 has 120 divisors (see below), whose sum is σ = 2324297664. Its totient is φ = 213776640.

The previous prime is 760831993. The next prime is 760832027. The reversal of 760832016 is 610238067.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140821 + ... + 146123.

Almost surely, 2^760832016 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 760832016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162148832).

760832016 is an abundant number, since it is smaller than the sum of its proper divisors (1563465648).

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

760832016 is a wasteful number, since it uses less digits than its factorization.

760832016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 760832016 is about 27583.1835726045. The cubic root of 760832016 is about 912.9134238720.

The spelling of 760832016 in words is "seven hundred sixty million, eight hundred thirty-two thousand, sixteen".