87797040 has 80 divisors (see below), whose sum is σ = 273196800. Its totient is φ = 23324416.

The previous prime is 87797033. The next prime is 87797057. The reversal of 87797040 is 4079778.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 87796983 and 87797001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85651 + ... + 86669.

It is an arithmetic number, because the mean of its divisors is an integer number (3414960).

Almost surely, 2^87797040 is an apocalyptic number.

87797040 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 87797040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136598400).

87797040 is an abundant number, since it is smaller than the sum of its proper divisors (185399760).

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

87797040 is a wasteful number, since it uses less digits than its factorization.

87797040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 42.

The square root of 87797040 is about 9370.0074706480. The cubic root of 87797040 is about 444.4538010993.

The spelling of 87797040 in words is "eighty-seven million, seven hundred ninety-seven thousand, forty".