79832023040 has 456 divisors, whose sum is σ = 245290818672. Its totient is φ = 24662507520.

The previous prime is 79832023009. The next prime is 79832023087. The reversal of 79832023040 is 4032023897.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 79832022985 and 79832023003.

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, 706478024 + ... + 706478136.

It is an arithmetic number, because the mean of its divisors is an integer number (537918462).

Almost surely, 2^79832023040 is an apocalyptic number.

79832023040 is a gapful number since it is divisible by the number (70) 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 79832023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122645409336).

79832023040 is an abundant number, since it is smaller than the sum of its proper divisors (165458795632).

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

79832023040 is an equidigital number, since it uses as much as digits as its factorization.

79832023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 38.

The spelling of 79832023040 in words is "seventy-nine billion, eight hundred thirty-two million, twenty-three thousand, forty".