761685664 has 48 divisors (see below), whose sum is σ = 1574391168. Its totient is φ = 362044672.

The previous prime is 761685643. The next prime is 761685671. The reversal of 761685664 is 466586167.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119814 + ... + 126010.

It is an arithmetic number, because the mean of its divisors is an integer number (32799816).

Almost surely, 2^761685664 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 761685664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787195584).

761685664 is an abundant number, since it is smaller than the sum of its proper divisors (812705504).

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

761685664 is a wasteful number, since it uses less digits than its factorization.

761685664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6397 (or 6389 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

The square root of 761685664 is about 27598.6533004783. The cubic root of 761685664 is about 913.2547236705.

The spelling of 761685664 in words is "seven hundred sixty-one million, six hundred eighty-five thousand, six hundred sixty-four".