78186796800 has 864 divisors, whose sum is σ = 307261667328. Its totient is φ = 17139548160.

The previous prime is 78186796783. The next prime is 78186796819. The reversal of 78186796800 is 869768187.

It is a super-2 number, since 2×78186796800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 479673519 + ... + 479673681.

Almost surely, 2^78186796800 is an apocalyptic number.

78186796800 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 78186796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153630833664).

78186796800 is an abundant number, since it is smaller than the sum of its proper divisors (229074870528).

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

78186796800 is a wasteful number, since it uses less digits than its factorization.

78186796800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 60.

The spelling of 78186796800 in words is "seventy-eight billion, one hundred eighty-six million, seven hundred ninety-six thousand, eight hundred".