78436800 has 252 divisors, whose sum is σ = 300944280. Its totient is φ = 19261440.

The previous prime is 78436763. The next prime is 78436811. The reversal of 78436800 is 863487.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 186991 + ... + 187409.

Almost surely, 2^78436800 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 78436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150472140).

78436800 is an abundant number, since it is smaller than the sum of its proper divisors (222507480).

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

78436800 is a wasteful number, since it uses less digits than its factorization.

78436800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78436800 is about 8856.4552728504. The cubic root of 78436800 is about 428.0619469541.

The spelling of 78436800 in words is "seventy-eight million, four hundred thirty-six thousand, eight hundred".