87902080 has 96 divisors (see below), whose sum is σ = 244536840. Its totient is φ = 30127104.

The previous prime is 87902041. The next prime is 87902123. The reversal of 87902080 is 8020978.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29959 + ... + 32761.

Almost surely, 2^87902080 is an apocalyptic number.

87902080 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 87902080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122268420).

87902080 is an abundant number, since it is smaller than the sum of its proper divisors (156634760).

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

87902080 is a wasteful number, since it uses less digits than its factorization.

87902080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2836 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The square root of 87902080 is about 9375.6109134285. The cubic root of 87902080 is about 444.6309779971.

The spelling of 87902080 in words is "eighty-seven million, nine hundred two thousand, eighty".