79026948000 has 3072 divisors, whose sum is σ = 418455797760. Its totient is φ = 13934592000.

The previous prime is 79026947999. The next prime is 79026948031. The reversal of 79026948000 is 84962097.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1837835979 + ... + 1837836021.

It is an arithmetic number, because the mean of its divisors is an integer number (136216080).

Almost surely, 2^79026948000 is an apocalyptic number.

79026948000 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 79026948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209227898880).

79026948000 is an abundant number, since it is smaller than the sum of its proper divisors (339428849760).

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

79026948000 is a wasteful number, since it uses less digits than its factorization.

79026948000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 79026948000 in words is "seventy-nine billion, twenty-six million, nine hundred forty-eight thousand".