87812500 has 48 divisors (see below), whose sum is σ = 192772944. Its totient is φ = 35000000.

The previous prime is 87812449. The next prime is 87812519. The reversal of 87812500 is 521878.

It can be written as a sum of positive squares in 8 ways, for example, as 74063236 + 13749264 = 8606^2 + 3708^2 .

It is a super-2 number, since 2×87812500² = 15422070312500000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312360 + ... + 312640.

It is an arithmetic number, because the mean of its divisors is an integer number (4016103).

Almost surely, 2^87812500 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 87812500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96386472).

87812500 is an abundant number, since it is smaller than the sum of its proper divisors (104960444).

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

87812500 is an frugal number, since it uses more digits than its factorization.

87812500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 87812500 is about 9370.8324069957. The cubic root of 87812500 is about 444.4798872198.

The spelling of 87812500 in words is "eighty-seven million, eight hundred twelve thousand, five hundred".