78895404000 has 768 divisors, whose sum is σ = 332610969600. Its totient is φ = 17791488000.

The previous prime is 78895403963. The next prime is 78895404031. The reversal of 78895404000 is 40459887.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 59723340 + ... + 59724660.

It is an arithmetic number, because the mean of its divisors is an integer number (433087200).

Almost surely, 2^78895404000 is an apocalyptic number.

78895404000 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 78895404000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166305484800).

78895404000 is an abundant number, since it is smaller than the sum of its proper divisors (253715565600).

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

78895404000 is a wasteful number, since it uses less digits than its factorization.

78895404000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1441 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 78895404000 in words is "seventy-eight billion, eight hundred ninety-five million, four hundred four thousand".