87813760 has 32 divisors (see below), whose sum is σ = 209931300. Its totient is φ = 35125248.

The previous prime is 87813749. The next prime is 87813767. The reversal of 87813760 is 6731878.

It can be written as a sum of positive squares in 2 ways, for example, as 87160896 + 652864 = 9336^2 + 808^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×87813760² = 15422512890675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (87813767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67965 + ... + 69244.

Almost surely, 2^87813760 is an apocalyptic number.

87813760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87813760 is an abundant number, since it is smaller than the sum of its proper divisors (122117540).

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

87813760 is a wasteful number, since it uses less digits than its factorization.

87813760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137228 (or 137216 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 40.

The square root of 87813760 is about 9370.8996366411. The cubic root of 87813760 is about 444.4820131205.

The spelling of 87813760 in words is "eighty-seven million, eight hundred thirteen thousand, seven hundred sixty".