82407582720 has 264 divisors, whose sum is σ = 294756209280. Its totient is φ = 21266104320.

The previous prime is 82407582713. The next prime is 82407582737. The reversal of 82407582720 is 2728570428.

82407582720 is a `hidden beast` number, since 8 + 2 + 40 + 7 + 582 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1399636 + ... + 1457324.

Almost surely, 2^82407582720 is an apocalyptic number.

82407582720 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 82407582720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147378104640).

82407582720 is an abundant number, since it is smaller than the sum of its proper divisors (212348626560).

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

82407582720 is a wasteful number, since it uses less digits than its factorization.

82407582720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57751 (or 57730 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 82407582720 in words is "eighty-two billion, four hundred seven million, five hundred eighty-two thousand, seven hundred twenty".