78993532800 has 1920 divisors, whose sum is σ = 381806187840. Its totient is φ = 15606743040.

The previous prime is 78993532781. The next prime is 78993532801. The reversal of 78993532800 is 823539987.

It is a happy number.

78993532800 is a `hidden beast` number, since 7 + 8 + 9 + 9 + 353 + 280 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78993532801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 400982302 + ... + 400982498.

Almost surely, 2^78993532800 is an apocalyptic number.

78993532800 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 78993532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190903093920).

78993532800 is an abundant number, since it is smaller than the sum of its proper divisors (302812655040).

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

78993532800 is a wasteful number, since it uses less digits than its factorization.

78993532800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 78993532800 in words is "seventy-eight billion, nine hundred ninety-three million, five hundred thirty-two thousand, eight hundred".