790978520640 has 448 divisors, whose sum is σ = 3207421421568. Its totient is φ = 160349798400.

The previous prime is 790978520627. The next prime is 790978520653. The reversal of 790978520640 is 46025879097.

It is an interprime number because it is at equal distance from previous prime (790978520627) and next prime (790978520653).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×790978520640² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2900227 + ... + 3161213.

It is an arithmetic number, because the mean of its divisors is an integer number (7159422816).

Almost surely, 2^790978520640 is an apocalyptic number.

790978520640 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 790978520640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603710710784).

790978520640 is an abundant number, since it is smaller than the sum of its proper divisors (2416442900928).

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

790978520640 is a wasteful number, since it uses less digits than its factorization.

790978520640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261066 (or 261056 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 790978520640 in words is "seven hundred ninety billion, nine hundred seventy-eight million, five hundred twenty thousand, six hundred forty".