78418800 has 240 divisors, whose sum is σ = 286454880. Its totient is φ = 20367360.

The previous prime is 78418759. The next prime is 78418801. The reversal of 78418800 is 881487.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×78418800² = 12299016386880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78418801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 572332 + ... + 572468.

It is an arithmetic number, because the mean of its divisors is an integer number (1193562).

Almost surely, 2^78418800 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 78418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143227440).

78418800 is an abundant number, since it is smaller than the sum of its proper divisors (208036080).

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

78418800 is a wasteful number, since it uses less digits than its factorization.

78418800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 78418800 is about 8855.4390066219. The cubic root of 78418800 is about 428.0291999760.

It can be divided in two parts, 7841 and 8800, that added together give a square (16641 = 129²).

The spelling of 78418800 in words is "seventy-eight million, four hundred eighteen thousand, eight hundred".