78865763200 has 384 divisors, whose sum is σ = 231185203200. Its totient is φ = 26022297600.

The previous prime is 78865763177. The next prime is 78865763201. The reversal of 78865763200 is 236756887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78865763201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72553057 + ... + 72554143.

It is an arithmetic number, because the mean of its divisors is an integer number (602044800).

Almost surely, 2^78865763200 is an apocalyptic number.

78865763200 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 78865763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115592601600).

78865763200 is an abundant number, since it is smaller than the sum of its proper divisors (152319440000).

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

78865763200 is a wasteful number, since it uses less digits than its factorization.

78865763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 78865763200 in words is "seventy-eight billion, eight hundred sixty-five million, seven hundred sixty-three thousand, two hundred".