876758960 has 120 divisors (see below), whose sum is σ = 2586972816. Its totient is φ = 273262080.

The previous prime is 876758929. The next prime is 876758999. The reversal of 876758960 is 69857678.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 876758896 and 876758905.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32954 + ... + 53286.

Almost surely, 2^876758960 is an apocalyptic number.

876758960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 876758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293486408).

876758960 is an abundant number, since it is smaller than the sum of its proper divisors (1710213856).

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

876758960 is a wasteful number, since it uses less digits than its factorization.

876758960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20371 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 56.

The square root of 876758960 is about 29610.1158390169. The cubic root of 876758960 is about 957.1060708687.

The spelling of 876758960 in words is "eight hundred seventy-six million, seven hundred fifty-eight thousand, nine hundred sixty".