78700910400 has 1008 divisors, whose sum is σ = 332242485120. Its totient is φ = 17296588800.

The previous prime is 78700910377. The next prime is 78700910411. The reversal of 78700910400 is 401900787.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 566193531 + ... + 566193669.

It is an arithmetic number, because the mean of its divisors is an integer number (329605640).

Almost surely, 2^78700910400 is an apocalyptic number.

78700910400 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 78700910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166121242560).

78700910400 is an abundant number, since it is smaller than the sum of its proper divisors (253541574720).

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

78700910400 is a wasteful number, since it uses less digits than its factorization.

78700910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The spelling of 78700910400 in words is "seventy-eight billion, seven hundred million, nine hundred ten thousand, four hundred".