790272935760 has 640 divisors, whose sum is σ = 3239268102144. Its totient is φ = 154302382080.

The previous prime is 790272935747. The next prime is 790272935761. The reversal of 790272935760 is 67539272097.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 790272935760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (790272935761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 237817459 + ... + 237820781.

Almost surely, 2^790272935760 is an apocalyptic number.

790272935760 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 790272935760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619634051072).

790272935760 is an abundant number, since it is smaller than the sum of its proper divisors (2448995166384).

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

790272935760 is a wasteful number, since it uses less digits than its factorization.

790272935760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 57.

The spelling of 790272935760 in words is "seven hundred ninety billion, two hundred seventy-two million, nine hundred thirty-five thousand, seven hundred sixty".