761599960 has 64 divisors (see below), whose sum is σ = 1895788800. Its totient is φ = 273033600.

The previous prime is 761599957. The next prime is 761599987. The reversal of 761599960 is 69995167.

It is a junction number, because it is equal to n+sod(n) for n = 761599898 and 761599907.

It is a congruent number.

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, 19051 + ... + 43429.

It is an arithmetic number, because the mean of its divisors is an integer number (29621700).

Almost surely, 2^761599960 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 761599960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947894400).

761599960 is an abundant number, since it is smaller than the sum of its proper divisors (1134188840).

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

761599960 is a wasteful number, since it uses less digits than its factorization.

761599960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24472 (or 24468 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 52.

The square root of 761599960 is about 27597.1005723427. The cubic root of 761599960 is about 913.2204695933.

The spelling of 761599960 in words is "seven hundred sixty-one million, five hundred ninety-nine thousand, nine hundred sixty".