78978631200 has 576 divisors, whose sum is σ = 308017785600. Its totient is φ = 17557585920.

The previous prime is 78978631091. The next prime is 78978631201. The reversal of 78978631200 is 213687987.

It is a super-2 number, since 2×78978631200² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78978631201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30457104 + ... + 30459696.

It is an arithmetic number, because the mean of its divisors is an integer number (534753100).

Almost surely, 2^78978631200 is an apocalyptic number.

78978631200 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 78978631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154008892800).

78978631200 is an abundant number, since it is smaller than the sum of its proper divisors (229039154400).

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

78978631200 is a wasteful number, since it uses less digits than its factorization.

78978631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2674 (or 2647 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The spelling of 78978631200 in words is "seventy-eight billion, nine hundred seventy-eight million, six hundred thirty-one thousand, two hundred".