876540312 has 128 divisors (see below), whose sum is σ = 2580984000. Its totient is φ = 275143680.

The previous prime is 876540289. The next prime is 876540331. The reversal of 876540312 is 213045678.

876540312 is a `hidden beast` number, since 87 + 6 + 540 + 31 + 2 = 666.

It is a super-2 number, since 2×876540312² = 1536645837122114688, which contains 22 as substring.

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

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, 255118 + ... + 258530.

Almost surely, 2^876540312 is an apocalyptic number.

876540312 is a gapful number since it is divisible by the number (82) 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 876540312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290492000).

876540312 is an abundant number, since it is smaller than the sum of its proper divisors (1704443688).

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

876540312 is a wasteful number, since it uses less digits than its factorization.

876540312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3488 counting only the distinct ones).

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

The square root of 876540312 is about 29606.4234922086. The cubic root of 876540312 is about 957.0265025433.

The spelling of 876540312 in words is "eight hundred seventy-six million, five hundred forty thousand, three hundred twelve".