78293174400 has 480 divisors, whose sum is σ = 330200830080. Its totient is φ = 17895168000.

The previous prime is 78293174383. The next prime is 78293174413. The reversal of 78293174400 is 447139287.

78293174400 is a `hidden beast` number, since 78 + 2 + 9 + 3 + 174 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×78293174400² (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 59 ways as a sum of consecutive naturals, for example, 1792825 + ... + 1835975.

It is an arithmetic number, because the mean of its divisors is an integer number (687918396).

Almost surely, 2^78293174400 is an apocalyptic number.

78293174400 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 78293174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165100415040).

78293174400 is an abundant number, since it is smaller than the sum of its proper divisors (251907655680).

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

78293174400 is a wasteful number, since it uses less digits than its factorization.

78293174400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43194 (or 43168 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 78293174400 in words is "seventy-eight billion, two hundred ninety-three million, one hundred seventy-four thousand, four hundred".