876104640 has 224 divisors, whose sum is σ = 3191377920. Its totient is φ = 226022400.

The previous prime is 876104623. The next prime is 876104651. The reversal of 876104640 is 46401678.

876104640 is a `hidden beast` number, since 8 + 7 + 6 + 1 + 0 + 4 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 876104595 and 876104604.

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, 266205 + ... + 269475.

Almost surely, 2^876104640 is an apocalyptic number.

876104640 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 876104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1595688960).

876104640 is an abundant number, since it is smaller than the sum of its proper divisors (2315273280).

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

876104640 is a wasteful number, since it uses less digits than its factorization.

876104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3328 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 876104640 is about 29599.0648500928. The cubic root of 876104640 is about 956.8679174243.

The spelling of 876104640 in words is "eight hundred seventy-six million, one hundred four thousand, six hundred forty".