87757280 has 96 divisors (see below), whose sum is σ = 230646528. Its totient is φ = 31334400.

The previous prime is 87757279. The next prime is 87757289. The reversal of 87757280 is 8275778.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87757289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63800 + ... + 65160.

It is an arithmetic number, because the mean of its divisors is an integer number (2402568).

Almost surely, 2^87757280 is an apocalyptic number.

87757280 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 87757280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115323264).

87757280 is an abundant number, since it is smaller than the sum of its proper divisors (142889248).

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

87757280 is a wasteful number, since it uses less digits than its factorization.

87757280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420 (or 1412 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 44.

The square root of 87757280 is about 9367.8855671918. The cubic root of 87757280 is about 444.3866987939.

The spelling of 87757280 in words is "eighty-seven million, seven hundred fifty-seven thousand, two hundred eighty".