79021393920 has 576 divisors, whose sum is σ = 314790053760. Its totient is φ = 17958961152.

The previous prime is 79021393883. The next prime is 79021393949. The reversal of 79021393920 is 2939312097.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223856464 + ... + 223856816.

It is an arithmetic number, because the mean of its divisors is an integer number (546510510).

Almost surely, 2^79021393920 is an apocalyptic number.

79021393920 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 79021393920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157395026880).

79021393920 is an abundant number, since it is smaller than the sum of its proper divisors (235768659840).

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

79021393920 is a wasteful number, since it uses less digits than its factorization.

79021393920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 45.

The spelling of 79021393920 in words is "seventy-nine billion, twenty-one million, three hundred ninety-three thousand, nine hundred twenty".