87977880 has 192 divisors, whose sum is σ = 309204000. Its totient is φ = 22224384.

The previous prime is 87977867. The next prime is 87977899. The reversal of 87977880 is 8877978.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1659934 + ... + 1659986.

Almost surely, 2^87977880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87977880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154602000).

87977880 is an abundant number, since it is smaller than the sum of its proper divisors (221226120).

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

87977880 is a wasteful number, since it uses less digits than its factorization.

87977880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 54.

The square root of 87977880 is about 9379.6524455867. The cubic root of 87977880 is about 444.7587464759.

The spelling of 87977880 in words is "eighty-seven million, nine hundred seventy-seven thousand, eight hundred eighty".