82320157440 has 864 divisors, whose sum is σ = 317557933056. Its totient is φ = 20364410880.

The previous prime is 82320157379. The next prime is 82320157459. The reversal of 82320157440 is 4475102328.

It is a happy number.

82320157440 is a `hidden beast` number, since 8 + 2 + 3 + 201 + 5 + 7 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 82320157395 and 82320157404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264694885 + ... + 264695195.

It is an arithmetic number, because the mean of its divisors is an integer number (367543904).

Almost surely, 2^82320157440 is an apocalyptic number.

82320157440 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 82320157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158778966528).

82320157440 is an abundant number, since it is smaller than the sum of its proper divisors (235237775616).

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

82320157440 is a wasteful number, since it uses less digits than its factorization.

82320157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

Adding to 82320157440 its reverse (4475102328), we get a palindrome (86795259768).

The spelling of 82320157440 in words is "eighty-two billion, three hundred twenty million, one hundred fifty-seven thousand, four hundred forty".