87274880 has 288 divisors, whose sum is σ = 278374320. Its totient is φ = 26019840.

The previous prime is 87274861. The next prime is 87274909. The reversal of 87274880 is 8847278.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3794549 + ... + 3794571.

Almost surely, 2^87274880 is an apocalyptic number.

87274880 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 87274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139187160).

87274880 is an abundant number, since it is smaller than the sum of its proper divisors (191099440).

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

87274880 is a wasteful number, since it uses less digits than its factorization.

87274880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 44.

The square root of 87274880 is about 9342.1025470715. The cubic root of 87274880 is about 443.5709406510.

The spelling of 87274880 in words is "eighty-seven million, two hundred seventy-four thousand, eight hundred eighty".