79234122240 has 2400 divisors, whose sum is σ = 391431553920. Its totient is φ = 14906032128.

The previous prime is 79234122217. The next prime is 79234122241. The reversal of 79234122240 is 4222143297.

It is a happy number.

79234122240 is a `hidden beast` number, since 7 + 92 + 341 + 2 + 224 + 0 = 666.

It is a super-2 number, since 2×79234122240² (a number of 23 digits) contains 22 as substring.

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 = 79234122195 and 79234122204.

It is not an unprimeable number, because it can be changed into a prime (79234122241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4170216951 + ... + 4170216969.

Almost surely, 2^79234122240 is an apocalyptic number.

79234122240 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 79234122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195715776960).

79234122240 is an abundant number, since it is smaller than the sum of its proper divisors (312197431680).

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

79234122240 is a wasteful number, since it uses less digits than its factorization.

79234122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 79234122240 in words is "seventy-nine billion, two hundred thirty-four million, one hundred twenty-two thousand, two hundred forty".