78724800 has 504 divisors, whose sum is σ = 353763072. Its totient is φ = 16128000.

The previous prime is 78724783. The next prime is 78724813. The reversal of 78724800 is 842787.

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 an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1108765 + ... + 1108835.

Almost surely, 2^78724800 is an apocalyptic number.

78724800 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 78724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176881536).

78724800 is an abundant number, since it is smaller than the sum of its proper divisors (275038272).

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

78724800 is a wasteful number, since it uses less digits than its factorization.

78724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78724800 is about 8872.6997018946. The cubic root of 78724800 is about 428.5852186039.

It can be divided in two parts, 78724 and 800, that added together give a square (79524 = 282²).

The spelling of 78724800 in words is "seventy-eight million, seven hundred twenty-four thousand, eight hundred".