82725027840 has 1200 divisors, whose sum is σ = 367680341952. Its totient is φ = 17326669824.

The previous prime is 82725027809. The next prime is 82725027859. The reversal of 82725027840 is 4872052728.

82725027840 is a `hidden beast` number, since 8 + 2 + 72 + 502 + 78 + 4 + 0 = 666.

It is a super-2 number, since 2×82725027840² (a number of 23 digits) contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 603832252 + ... + 603832388.

Almost surely, 2^82725027840 is an apocalyptic number.

82725027840 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 82725027840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183840170976).

82725027840 is an abundant number, since it is smaller than the sum of its proper divisors (284955314112).

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

82725027840 is a wasteful number, since it uses less digits than its factorization.

82725027840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 167 counting only the distinct ones).

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

The spelling of 82725027840 in words is "eighty-two billion, seven hundred twenty-five million, twenty-seven thousand, eight hundred forty".