78193760400 has 240 divisors, whose sum is σ = 318071011200. Its totient is φ = 17872842240.

The previous prime is 78193760383. The next prime is 78193760413. The reversal of 78193760400 is 406739187.

78193760400 is a `hidden beast` number, since 7 + 8 + 1 + 9 + 37 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78193760400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 441555 + ... + 592754.

It is an arithmetic number, because the mean of its divisors is an integer number (1325295880).

Almost surely, 2^78193760400 is an apocalyptic number.

78193760400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

78193760400 is an abundant number, since it is smaller than the sum of its proper divisors (239877250800).

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

78193760400 is a wasteful number, since it uses less digits than its factorization.

78193760400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034343 (or 1034326 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 78193760400 in words is "seventy-eight billion, one hundred ninety-three million, seven hundred sixty thousand, four hundred".