759980517120 has 1512 divisors, whose sum is σ = 3080687758848. Its totient is φ = 179338199040.

The previous prime is 759980517119. The next prime is 759980517133. The reversal of 759980517120 is 21715089957.

It is a super-2 number, since 2×759980517120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5984098497 + ... + 5984098623.

It is an arithmetic number, because the mean of its divisors is an integer number (2037491904).

Almost surely, 2^759980517120 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 759980517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540343879424).

759980517120 is an abundant number, since it is smaller than the sum of its proper divisors (2320707241728).

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

759980517120 is a wasteful number, since it uses less digits than its factorization.

759980517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 54.

The spelling of 759980517120 in words is "seven hundred fifty-nine billion, nine hundred eighty million, five hundred seventeen thousand, one hundred twenty".