78802988785920 has 1728 divisors, whose sum is σ = 325774889975808. Its totient is φ = 17209221120000.

The previous prime is 78802988785909. The next prime is 78802988785967. The reversal of 78802988785920 is 2958788920887.

It is a super-2 number, since 2×78802988785920² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78802988785920.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 72097884894 + ... + 72097885986.

Almost surely, 2^{78802988785920} is an apocalyptic number.

78802988785920 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 78802988785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162887444987904).

78802988785920 is an abundant number, since it is smaller than the sum of its proper divisors (246971901189888).

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

78802988785920 is a wasteful number, since it uses less digits than its factorization.

78802988785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 81.

The spelling of 78802988785920 in words is "seventy-eight trillion, eight hundred two billion, nine hundred eighty-eight million, seven hundred eighty-five thousand, nine hundred twenty".