876032640 has 192 divisors, whose sum is σ = 3457359360. Its totient is φ = 200226816.

The previous prime is 876032629. The next prime is 876032657. The reversal of 876032640 is 46230678.

876032640 is a `hidden beast` number, since 8 + 7 + 6 + 0 + 3 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 876032595 and 876032604.

It is a congruent number.

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, 29457 + ... + 51183.

It is an arithmetic number, because the mean of its divisors is an integer number (18007080).

Almost surely, 2^876032640 is an apocalyptic number.

876032640 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 876032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728679680).

876032640 is an abundant number, since it is smaller than the sum of its proper divisors (2581326720).

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

876032640 is a wasteful number, since it uses less digits than its factorization.

876032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21759 (or 21744 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 876032640 is about 29597.8485704620. The cubic root of 876032640 is about 956.8417042780.

The spelling of 876032640 in words is "eight hundred seventy-six million, thirty-two thousand, six hundred forty".