761601669520 has 80 divisors (see below), whose sum is σ = 1796231931120. Its totient is φ = 300281167872.

The previous prime is 761601669511. The next prime is 761601669533. The reversal of 761601669520 is 25966106167.

It can be written as a sum of positive squares in 8 ways, for example, as 3141826704 + 758459842816 = 56052^2 + 870896^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 1456692 + ... + 1909228.

It is an arithmetic number, because the mean of its divisors is an integer number (22452899139).

Almost surely, 2^761601669520 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 761601669520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898115965560).

761601669520 is an abundant number, since it is smaller than the sum of its proper divisors (1034630261600).

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

761601669520 is a wasteful number, since it uses less digits than its factorization.

761601669520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452852 (or 452846 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 761601669520 in words is "seven hundred sixty-one billion, six hundred one million, six hundred sixty-nine thousand, five hundred twenty".