87670800 has 360 divisors, whose sum is σ = 359798400. Its totient is φ = 19756800.

The previous prime is 87670763. The next prime is 87670861. The reversal of 87670800 is 807678.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234765 + ... + 1234835.

It is an arithmetic number, because the mean of its divisors is an integer number (999440).

Almost surely, 2^87670800 is an apocalyptic number.

87670800 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 87670800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179899200).

87670800 is an abundant number, since it is smaller than the sum of its proper divisors (272127600).

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

87670800 is a wasteful number, since it uses less digits than its factorization.

87670800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 87670800 is about 9363.2686600353. The cubic root of 87670800 is about 444.2406778888.

The spelling of 87670800 in words is "eighty-seven million, six hundred seventy thousand, eight hundred".