87722320 has 80 divisors (see below), whose sum is σ = 234270720. Its totient is φ = 29924352.

The previous prime is 87722317. The next prime is 87722339. The reversal of 87722320 is 2322778.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214276 + ... + 214684.

It is an arithmetic number, because the mean of its divisors is an integer number (2928384).

Almost surely, 2^87722320 is an apocalyptic number.

87722320 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 87722320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117135360).

87722320 is an abundant number, since it is smaller than the sum of its proper divisors (146548400).

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

87722320 is a wasteful number, since it uses less digits than its factorization.

87722320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 87722320 is about 9366.0194319679. The cubic root of 87722320 is about 444.3276806230.

The spelling of 87722320 in words is "eighty-seven million, seven hundred twenty-two thousand, three hundred twenty".