87759720 has 128 divisors (see below), whose sum is σ = 305337600. Its totient is φ = 22378752.

The previous prime is 87759709. The next prime is 87759733. The reversal of 87759720 is 2795778.

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

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, 23074 + ... + 26606.

It is an arithmetic number, because the mean of its divisors is an integer number (2385450).

Almost surely, 2^87759720 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 87759720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152668800).

87759720 is an abundant number, since it is smaller than the sum of its proper divisors (217577880).

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

87759720 is a wasteful number, since it uses less digits than its factorization.

87759720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3576 (or 3566 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The square root of 87759720 is about 9368.0157984495. The cubic root of 87759720 is about 444.3908173259.

The spelling of 87759720 in words is "eighty-seven million, seven hundred fifty-nine thousand, seven hundred twenty".