78112800 has 216 divisors, whose sum is σ = 290450160. Its totient is φ = 19699200.

The previous prime is 78112799. The next prime is 78112871. The reversal of 78112800 is 821187.

It is a super-2 number, since 2×78112800² = 12203219047680000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 136515 + ... + 137085.

Almost surely, 2^78112800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78112800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145225080).

78112800 is an abundant number, since it is smaller than the sum of its proper divisors (212337360).

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

78112800 is a wasteful number, since it uses less digits than its factorization.

78112800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 78112800 is about 8838.1446016684. The cubic root of 78112800 is about 427.4717330238.

Adding to 78112800 its reverse (821187), we get a palindrome (78933987).

The spelling of 78112800 in words is "seventy-eight million, one hundred twelve thousand, eight hundred".