78376636800 has 2592 divisors, whose sum is σ = 392646978360. Its totient is φ = 15328051200.

The previous prime is 78376636781. The next prime is 78376636813. The reversal of 78376636800 is 863667387.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×78376636800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 4610390392 + ... + 4610390408.

Almost surely, 2^78376636800 is an apocalyptic number.

78376636800 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 78376636800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196323489180).

78376636800 is an abundant number, since it is smaller than the sum of its proper divisors (314270341560).

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

78376636800 is a wasteful number, since it uses less digits than its factorization.

78376636800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 78376636800 in words is "seventy-eight billion, three hundred seventy-six million, six hundred thirty-six thousand, eight hundred".