876383640 has 384 divisors, whose sum is σ = 3288729600. Its totient is φ = 202118400.

The previous prime is 876383639. The next prime is 876383663. The reversal of 876383640 is 46383678.

876383640 is a `hidden beast` number, since 8 + 7 + 638 + 3 + 6 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 14853931 + ... + 14853989.

It is an arithmetic number, because the mean of its divisors is an integer number (8564400).

Almost surely, 2^876383640 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 876383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1644364800).

876383640 is an abundant number, since it is smaller than the sum of its proper divisors (2412345960).

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

876383640 is a wasteful number, since it uses less digits than its factorization.

876383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 876383640 is about 29603.7774616686. Note that the first 3 decimals coincide. The cubic root of 876383640 is about 956.9694798035.

The spelling of 876383640 in words is "eight hundred seventy-six million, three hundred eighty-three thousand, six hundred forty".