87476880 has 80 divisors (see below), whose sum is σ = 278535744. Its totient is φ = 22694400.

The previous prime is 87476863. The next prime is 87476891. The reversal of 87476880 is 8867478.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 3955 + ... + 13805.

Almost surely, 2^87476880 is an apocalyptic number.

87476880 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 87476880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139267872).

87476880 is an abundant number, since it is smaller than the sum of its proper divisors (191058864).

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

87476880 is a wasteful number, since it uses less digits than its factorization.

87476880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9904 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 48.

The square root of 87476880 is about 9352.9075693070. The cubic root of 87476880 is about 443.9128958259.

The spelling of 87476880 in words is "eighty-seven million, four hundred seventy-six thousand, eight hundred eighty".