78826800 has 240 divisors, whose sum is σ = 282426368. Its totient is φ = 18662400.

The previous prime is 78826789. The next prime is 78826817. The reversal of 78826800 is 862887.

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

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483519 + ... + 483681.

Almost surely, 2^78826800 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 78826800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141213184).

78826800 is an abundant number, since it is smaller than the sum of its proper divisors (203599568).

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

78826800 is a wasteful number, since it uses less digits than its factorization.

78826800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 78826800 is about 8878.4458099377. The cubic root of 78826800 is about 428.7702379191.

The spelling of 78826800 in words is "seventy-eight million, eight hundred twenty-six thousand, eight hundred".