87807280 has 120 divisors (see below), whose sum is σ = 230360256. Its totient is φ = 31088640.

The previous prime is 87807271. The next prime is 87807287. The reversal of 87807280 is 8270878.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (87807287) 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, 454864 + ... + 455056.

Almost surely, 2^87807280 is an apocalyptic number.

87807280 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 87807280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115180128).

87807280 is an abundant number, since it is smaller than the sum of its proper divisors (142552976).

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

87807280 is a wasteful number, since it uses less digits than its factorization.

87807280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 40.

The square root of 87807280 is about 9370.5538790404. The cubic root of 87807280 is about 444.4710797000.

The spelling of 87807280 in words is "eighty-seven million, eight hundred seven thousand, two hundred eighty".