876531240 has 256 divisors, whose sum is σ = 3175200000. Its totient is φ = 213801984.

The previous prime is 876531197. The next prime is 876531263. The reversal of 876531240 is 42135678.

876531240 is a `hidden beast` number, since 87 + 6 + 531 + 2 + 40 = 666.

876531240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 876531195 and 876531204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091751 + ... + 2092169.

It is an arithmetic number, because the mean of its divisors is an integer number (12403125).

Almost surely, 2^876531240 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 876531240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1587600000).

876531240 is an abundant number, since it is smaller than the sum of its proper divisors (2298668760).

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

876531240 is a wasteful number, since it uses less digits than its factorization.

876531240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 876531240 is about 29606.2702818170. The cubic root of 876531240 is about 957.0232008605.

The spelling of 876531240 in words is "eight hundred seventy-six million, five hundred thirty-one thousand, two hundred forty".