79020266040 has 384 divisors, whose sum is σ = 284430182400. Its totient is φ = 19686965760.

The previous prime is 79020266029. The next prime is 79020266051. The reversal of 79020266040 is 4066202097.

It is a happy number.

79020266040 is a `hidden beast` number, since 7 + 9 + 0 + 20 + 26 + 604 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (79020266029) and next prime (79020266051).

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 = 79020265986 and 79020266004.

It is a congruent number.

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, 8733759 + ... + 8742801.

It is an arithmetic number, because the mean of its divisors is an integer number (740703600).

Almost surely, 2^79020266040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79020266040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142215091200).

79020266040 is an abundant number, since it is smaller than the sum of its proper divisors (205409916360).

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

79020266040 is a wasteful number, since it uses less digits than its factorization.

79020266040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9129 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 79020266040 in words is "seventy-nine billion, twenty million, two hundred sixty-six thousand, forty".