87900480 has 168 divisors, whose sum is σ = 315724032. Its totient is φ = 22404096.

The previous prime is 87900467. The next prime is 87900487. The reversal of 87900480 is 8400978.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87900487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65577 + ... + 66903.

Almost surely, 2^87900480 is an apocalyptic number.

87900480 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 87900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157862016).

87900480 is an abundant number, since it is smaller than the sum of its proper divisors (227823552).

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

87900480 is a wasteful number, since it uses less digits than its factorization.

87900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 87900480 is about 9375.5255852672. The cubic root of 87900480 is about 444.6282802457.

The spelling of 87900480 in words is "eighty-seven million, nine hundred thousand, four hundred eighty".