876573360 has 640 divisors, whose sum is σ = 3599769600. Its totient is φ = 194088960.

The previous prime is 876573331. The next prime is 876573389. The reversal of 876573360 is 63375678.

876573360 is a `hidden beast` number, since 8 + 76 + 573 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (876573331) and next prime (876573389).

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 127 ways as a sum of consecutive naturals, for example, 16539094 + ... + 16539146.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^876573360 is an apocalyptic number.

876573360 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 876573360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799884800).

876573360 is an abundant number, since it is smaller than the sum of its proper divisors (2723196240).

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

876573360 is a wasteful number, since it uses less digits than its factorization.

876573360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 876573360 is about 29606.9816090732. The cubic root of 876573360 is about 957.0385299097.

The spelling of 876573360 in words is "eight hundred seventy-six million, five hundred seventy-three thousand, three hundred sixty".