82188720 has 120 divisors (see below), whose sum is σ = 277837872. Its totient is φ = 21772800.

The previous prime is 82188709. The next prime is 82188797. The reversal of 82188720 is 2788128.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 151650 + ... + 152190.

Almost surely, 2^82188720 is an apocalyptic number.

82188720 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 82188720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138918936).

82188720 is an abundant number, since it is smaller than the sum of its proper divisors (195649152).

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

82188720 is a wasteful number, since it uses less digits than its factorization.

82188720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 82188720 is about 9065.7994683315. The cubic root of 82188720 is about 434.7811820591.

The spelling of 82188720 in words is "eighty-two million, one hundred eighty-eight thousand, seven hundred twenty".