87857280 has 192 divisors, whose sum is σ = 346881600. Its totient is φ = 20072448.

The previous prime is 87857261. The next prime is 87857303. The reversal of 87857280 is 8275878.

It is a happy number.

87857280 is a `hidden beast` number, since 8 + 78 + 572 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39231 + ... + 41409.

It is an arithmetic number, because the mean of its divisors is an integer number (1806675).

Almost surely, 2^87857280 is an apocalyptic number.

87857280 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 87857280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173440800).

87857280 is an abundant number, since it is smaller than the sum of its proper divisors (259024320).

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

87857280 is a wasteful number, since it uses less digits than its factorization.

87857280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 87857280 is about 9373.2214312903. The cubic root of 87857280 is about 444.5554285797. Note that the first 3 decimals are identical.

The spelling of 87857280 in words is "eighty-seven million, eight hundred fifty-seven thousand, two hundred eighty".