87797520 has 200 divisors, whose sum is σ = 323276184. Its totient is φ = 22007808.

The previous prime is 87797473. The next prime is 87797527. The reversal of 87797520 is 2579778.

It can be written as a sum of positive squares in 4 ways, for example, as 17438976 + 70358544 = 4176^2 + 8388^2 .

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 (87797527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109762 + ... + 110558.

Almost surely, 2^87797520 is an apocalyptic number.

87797520 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 87797520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161638092).

87797520 is an abundant number, since it is smaller than the sum of its proper divisors (235478664).

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

87797520 is a wasteful number, since it uses less digits than its factorization.

87797520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 824 counting only the distinct ones).

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

The square root of 87797520 is about 9370.0330842532. The cubic root of 87797520 is about 444.4546110637.

The spelling of 87797520 in words is "eighty-seven million, seven hundred ninety-seven thousand, five hundred twenty".