78934800 has 120 divisors (see below), whose sum is σ = 289007296. Its totient is φ = 18040320.

The previous prime is 78934787. The next prime is 78934811. The reversal of 78934800 is 843987.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 3702 + ... + 13098.

Almost surely, 2^78934800 is an apocalyptic number.

78934800 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 78934800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144503648).

78934800 is an abundant number, since it is smaller than the sum of its proper divisors (210072496).

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

78934800 is a wasteful number, since it uses less digits than its factorization.

78934800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9425 (or 9414 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 78934800 is about 8884.5258736750. The cubic root of 78934800 is about 428.9659668396.

The spelling of 78934800 in words is "seventy-eight million, nine hundred thirty-four thousand, eight hundred".