78898060800 has 960 divisors, whose sum is σ = 330535719360. Its totient is φ = 18260951040.

The previous prime is 78898060757. The next prime is 78898060811. The reversal of 78898060800 is 806089887.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76377084 + ... + 76378116.

It is an arithmetic number, because the mean of its divisors is an integer number (344308041).

Almost surely, 2^78898060800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78898060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165267859680).

78898060800 is an abundant number, since it is smaller than the sum of its proper divisors (251637658560).

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

78898060800 is a wasteful number, since it uses less digits than its factorization.

78898060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 78898060800 in words is "seventy-eight billion, eight hundred ninety-eight million, sixty thousand, eight hundred".