87591780 has 144 divisors (see below), whose sum is σ = 280687680. Its totient is φ = 22923648.

The previous prime is 87591761. The next prime is 87591781. The reversal of 87591780 is 8719578.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (87591781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325486 + ... + 325754.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2^87591780 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 87591780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140343840).

87591780 is an abundant number, since it is smaller than the sum of its proper divisors (193095900).

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

87591780 is a wasteful number, since it uses less digits than its factorization.

87591780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The square root of 87591780 is about 9359.0480285123. The cubic root of 87591780 is about 444.1071691632.

The spelling of 87591780 in words is "eighty-seven million, five hundred ninety-one thousand, seven hundred eighty".