760884145164 has 1152 divisors, whose sum is σ = 2694601728000. Its totient is φ = 176969318400.

The previous prime is 760884145163. The next prime is 760884145169. The reversal of 760884145164 is 461541488067.

760884145164 is a `hidden beast` number, since 7 + 6 + 0 + 88 + 41 + 4 + 516 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 760884145164.

It is not an unprimeable number, because it can be changed into a prime (760884145163) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1494860542 + ... + 1494861050.

It is an arithmetic number, because the mean of its divisors is an integer number (2339064000).

Almost surely, 2^760884145164 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 760884145164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347300864000).

760884145164 is an abundant number, since it is smaller than the sum of its proper divisors (1933717582836).

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

760884145164 is a wasteful number, since it uses less digits than its factorization.

760884145164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 760884145164 in words is "seven hundred sixty billion, eight hundred eighty-four million, one hundred forty-five thousand, one hundred sixty-four".