78753124800 has 840 divisors, whose sum is σ = 338052363264. Its totient is φ = 17608181760.

The previous prime is 78753124787. The next prime is 78753124831. The reversal of 78753124800 is 842135787.

78753124800 is a `hidden beast` number, since 78 + 7 + 531 + 2 + 48 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

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 119 ways as a sum of consecutive naturals, for example, 42637477 + ... + 42639323.

Almost surely, 2^78753124800 is an apocalyptic number.

78753124800 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 78753124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169026181632).

78753124800 is an abundant number, since it is smaller than the sum of its proper divisors (259299238464).

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

78753124800 is a wasteful number, since it uses less digits than its factorization.

78753124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1911 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 78753124800 in words is "seventy-eight billion, seven hundred fifty-three million, one hundred twenty-four thousand, eight hundred".