87760320 has 112 divisors (see below), whose sum is σ = 281452320. Its totient is φ = 23166976.

The previous prime is 87760313. The next prime is 87760333. The reversal of 87760320 is 2306778.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108076 + ... + 108884.

Almost surely, 2^87760320 is an apocalyptic number.

87760320 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 87760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140726160).

87760320 is an abundant number, since it is smaller than the sum of its proper divisors (193692000).

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

87760320 is a wasteful number, since it uses less digits than its factorization.

87760320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 942 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 87760320 is about 9368.0478222520. The cubic root of 87760320 is about 444.3918300679.

The spelling of 87760320 in words is "eighty-seven million, seven hundred sixty thousand, three hundred twenty".