82744320 has 88 divisors (see below), whose sum is σ = 264701664. Its totient is φ = 22061056.

The previous prime is 82744313. The next prime is 82744357. The reversal of 82744320 is 2344728.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12667 + ... + 18053.

Almost surely, 2^82744320 is an apocalyptic number.

82744320 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 82744320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132350832).

82744320 is an abundant number, since it is smaller than the sum of its proper divisors (181957344).

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

82744320 is a wasteful number, since it uses less digits than its factorization.

82744320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5415 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 82744320 is about 9096.3904929373. The cubic root of 82744320 is about 435.7586971022.

The spelling of 82744320 in words is "eighty-two million, seven hundred forty-four thousand, three hundred twenty".