78998976000 has 1200 divisors, whose sum is σ = 343411672032. Its totient is φ = 17998848000.

The previous prime is 78998975989. The next prime is 78998976031. The reversal of 78998976000 is 67989987.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 254015845 + ... + 254016155.

Almost surely, 2^78998976000 is an apocalyptic number.

78998976000 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 78998976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171705836016).

78998976000 is an abundant number, since it is smaller than the sum of its proper divisors (264412696032).

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

78998976000 is an equidigital number, since it uses as much as digits as its factorization.

78998976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 63.

The spelling of 78998976000 in words is "seventy-eight billion, nine hundred ninety-eight million, nine hundred seventy-six thousand".