78963830400 has 1152 divisors, whose sum is σ = 341632598400. Its totient is φ = 15642132480.

The previous prime is 78963830381. The next prime is 78963830401. The reversal of 78963830400 is 403836987.

It is a super-2 number, since 2×78963830400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 78963830400.

It is not an unprimeable number, because it can be changed into a prime (78963830401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 193065396 + ... + 193065804.

It is an arithmetic number, because the mean of its divisors is an integer number (296556075).

Almost surely, 2^78963830400 is an apocalyptic number.

78963830400 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 78963830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170816299200).

78963830400 is an abundant number, since it is smaller than the sum of its proper divisors (262668768000).

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

78963830400 is a wasteful number, since it uses less digits than its factorization.

78963830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 78963830400 in words is "seventy-eight billion, nine hundred sixty-three million, eight hundred thirty thousand, four hundred".