876631680 has 256 divisors, whose sum is σ = 3142742400. Its totient is φ = 230916096.

The previous prime is 876631649. The next prime is 876631711. The reversal of 876631680 is 86136678.

876631680 is a `hidden beast` number, since 8 + 7 + 6 + 631 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (876631649) and next prime (876631711).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675899 + ... + 1676421.

Almost surely, 2^876631680 is an apocalyptic number.

876631680 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 876631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571371200).

876631680 is an abundant number, since it is smaller than the sum of its proper divisors (2266110720).

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

876631680 is a wasteful number, since it uses less digits than its factorization.

876631680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 876631680 is about 29607.9664955228. The cubic root of 876631680 is about 957.0597539364.

The spelling of 876631680 in words is "eight hundred seventy-six million, six hundred thirty-one thousand, six hundred eighty".