78901760000 has 780 divisors, whose sum is σ = 249412902948. Its totient is φ = 24772608000.

The previous prime is 78901759991. The next prime is 78901760033. The reversal of 78901760000 is 6710987.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 32273403904 + 46628356096 = 179648^2 + 215936^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2132479982 + ... + 2132480018.

Almost surely, 2^78901760000 is an apocalyptic number.

78901760000 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 78901760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124706451474).

78901760000 is an abundant number, since it is smaller than the sum of its proper divisors (170511142948).

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

78901760000 is an equidigital number, since it uses as much as digits as its factorization.

78901760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 78901760000 in words is "seventy-eight billion, nine hundred one million, seven hundred sixty thousand".