78926400 has 504 divisors, whose sum is σ = 343936320. Its totient is φ = 17418240.

The previous prime is 78926387. The next prime is 78926401. The reversal of 78926400 is 462987.

78926400 is a `hidden beast` number, since 7 + 8 + 9 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78926401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2721586 + ... + 2721614.

Almost surely, 2^78926400 is an apocalyptic number.

78926400 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 78926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171968160).

78926400 is an abundant number, since it is smaller than the sum of its proper divisors (265009920).

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

78926400 is a wasteful number, since it uses less digits than its factorization.

78926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78926400 is about 8884.0531290622. The cubic root of 78926400 is about 428.9507498844.

The spelling of 78926400 in words is "seventy-eight million, nine hundred twenty-six thousand, four hundred".