78907046400 has 1440 divisors, whose sum is σ = 360279976320. Its totient is φ = 16562257920.

The previous prime is 78907046377. The next prime is 78907046401. The reversal of 78907046400 is 464070987.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78907046401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 408844704 + ... + 408844896.

It is an arithmetic number, because the mean of its divisors is an integer number (250194428).

Almost surely, 2^78907046400 is an apocalyptic number.

78907046400 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 78907046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180139988160).

78907046400 is an abundant number, since it is smaller than the sum of its proper divisors (281372929920).

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

78907046400 is a wasteful number, since it uses less digits than its factorization.

78907046400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 78907046400 in words is "seventy-eight billion, nine hundred seven million, forty-six thousand, four hundred".