87870720 has 216 divisors, whose sum is σ = 327154464. Its totient is φ = 20041728.

The previous prime is 87870719. The next prime is 87870737. The reversal of 87870720 is 2707878.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187927 + ... + 188393.

It is an arithmetic number, because the mean of its divisors is an integer number (1514604).

Almost surely, 2^87870720 is an apocalyptic number.

87870720 is a gapful number since it is divisible by the number (80) 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 87870720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577232).

87870720 is an abundant number, since it is smaller than the sum of its proper divisors (239283744).

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

87870720 is a wasteful number, since it uses less digits than its factorization.

87870720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 39.

The square root of 87870720 is about 9373.9383398868. The cubic root of 87870720 is about 444.5780961010.

The spelling of 87870720 in words is "eighty-seven million, eight hundred seventy thousand, seven hundred twenty".