87793920 has 108 divisors (see below), whose sum is σ = 303797676. Its totient is φ = 23408640.

The previous prime is 87793913. The next prime is 87793931. The reversal of 87793920 is 2939778.

It can be written as a sum of positive squares in 2 ways, for example, as 56791296 + 31002624 = 7536^2 + 5568^2 .

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 11 ways as a sum of consecutive naturals, for example, 7710 + ... + 15330.

Almost surely, 2^87793920 is an apocalyptic number.

87793920 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 87793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151898838).

87793920 is an abundant number, since it is smaller than the sum of its proper divisors (216003756).

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

87793920 is a wasteful number, since it uses less digits than its factorization.

87793920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7648 (or 7631 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 87793920 is about 9369.8409805076. The cubic root of 87793920 is about 444.4485362586.

The spelling of 87793920 in words is "eighty-seven million, seven hundred ninety-three thousand, nine hundred twenty".