78033715200 has 1026 divisors, whose sum is σ = 337215106956. Its totient is φ = 17836277760.

The previous prime is 78033715157. The next prime is 78033715223. The reversal of 78033715200 is 251733087.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (8!)² ⋅ 4! ⋅ 2!.

78033715200 is a `hidden beast` number, since 7 + 80 + 3 + 371 + 5 + 200 = 666.

It is a super-2 number, since 2×78033715200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 11147673597 + ... + 11147673603.

Almost surely, 2^78033715200 is an apocalyptic number.

78033715200 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 78033715200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168607553478).

78033715200 is an abundant number, since it is smaller than the sum of its proper divisors (259181391756).

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

78033715200 is an frugal number, since it uses more digits than its factorization.

78033715200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 78033715200 in words is "seventy-eight billion, thirty-three million, seven hundred fifteen thousand, two hundred".