760817152 has 80 divisors (see below), whose sum is σ = 1612329840. Its totient is φ = 357654528.

The previous prime is 760817137. The next prime is 760817179. The reversal of 760817152 is 251718067.

It is a super-2 number, since 2×760817152² = 1157685477554782208, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 1916218 + ... + 1916614.

It is an arithmetic number, because the mean of its divisors is an integer number (20154123).

Almost surely, 2^760817152 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 760817152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806164920).

760817152 is an abundant number, since it is smaller than the sum of its proper divisors (851512688).

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

760817152 is a wasteful number, since it uses less digits than its factorization.

760817152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

The square root of 760817152 is about 27582.9141317592. The cubic root of 760817152 is about 912.9074787868.

The spelling of 760817152 in words is "seven hundred sixty million, eight hundred seventeen thousand, one hundred fifty-two".