87302880 has 192 divisors, whose sum is σ = 349332480. Its totient is φ = 19948032.

The previous prime is 87302879. The next prime is 87302909. The reversal of 87302880 is 8820378.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28797 + ... + 31683.

It is an arithmetic number, because the mean of its divisors is an integer number (1819440).

Almost surely, 2^87302880 is an apocalyptic number.

87302880 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 87302880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174666240).

87302880 is an abundant number, since it is smaller than the sum of its proper divisors (262029600).

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

87302880 is a wasteful number, since it uses less digits than its factorization.

87302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2904 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 87302880 is about 9343.6010188792. The cubic root of 87302880 is about 443.6183718567.

The spelling of 87302880 in words is "eighty-seven million, three hundred two thousand, eight hundred eighty".