78427800 has 288 divisors, whose sum is σ = 305538480. Its totient is φ = 17817600.

The previous prime is 78427787. The next prime is 78427823. The reversal of 78427800 is 872487.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 336484 + ... + 336716.

Almost surely, 2^78427800 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 78427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152769240).

78427800 is an abundant number, since it is smaller than the sum of its proper divisors (227110680).

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

78427800 is a wasteful number, since it uses less digits than its factorization.

78427800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78427800 is about 8855.9471543139. The cubic root of 78427800 is about 428.0455740913.

The spelling of 78427800 in words is "seventy-eight million, four hundred twenty-seven thousand, eight hundred".