78626400 has 108 divisors (see below), whose sum is σ = 257350716. Its totient is φ = 20851200.

The previous prime is 78626371. The next prime is 78626419. The reversal of 78626400 is 462687.

It is a super-2 number, since 2×78626400² = 12364221553920000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 434310 + ... + 434490.

It is an arithmetic number, because the mean of its divisors is an integer number (2382877).

Almost surely, 2^78626400 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 78626400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128675358).

78626400 is an abundant number, since it is smaller than the sum of its proper divisors (178724316).

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

78626400 is a wasteful number, since it uses less digits than its factorization.

78626400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 78626400 is about 8867.1528688751. The cubic root of 78626400 is about 428.4065778679.

The spelling of 78626400 in words is "seventy-eight million, six hundred twenty-six thousand, four hundred".