761609856 has 256 divisors, whose sum is σ = 2456616960. Its totient is φ = 204374016.

The previous prime is 761609731. The next prime is 761609857. The reversal of 761609856 is 658906167.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (761609857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5996865 + ... + 5996991.

It is an arithmetic number, because the mean of its divisors is an integer number (9596160).

Almost surely, 2^761609856 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 761609856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228308480).

761609856 is an abundant number, since it is smaller than the sum of its proper divisors (1695007104).

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

761609856 is a wasteful number, since it uses less digits than its factorization.

761609856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 761609856 is about 27597.2798659578. The cubic root of 761609856 is about 913.2244249465.

The spelling of 761609856 in words is "seven hundred sixty-one million, six hundred nine thousand, eight hundred fifty-six".