312587880 has 128 divisors (see below), whose sum is σ = 1056153600. Its totient is φ = 73324800.

The previous prime is 312587837. The next prime is 312587881. The reversal of 312587880 is 88785213.

It is a happy number.

It is a super-2 number, since 2×312587880² = 195422365445788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (312587881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37101 + ... + 44739.

It is an arithmetic number, because the mean of its divisors is an integer number (8251200).

Almost surely, 2^312587880 is an apocalyptic number.

312587880 is a gapful number since it is divisible by the number (30) 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 312587880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528076800).

312587880 is an abundant number, since it is smaller than the sum of its proper divisors (743565720).

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

312587880 is a wasteful number, since it uses less digits than its factorization.

312587880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7695 (or 7691 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 312587880 is about 17680.1549766963. The cubic root of 312587880 is about 678.6680096588.

It can be divided in two parts, 3125 and 87880, that multiplied together give a cube (274625000 = 650³).

The spelling of 312587880 in words is "three hundred twelve million, five hundred eighty-seven thousand, eight hundred eighty".