78088000 has 112 divisors (see below), whose sum is σ = 198753984. Its totient is φ = 30374400.

The previous prime is 78087979. The next prime is 78088033. The reversal of 78088000 is 88087.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343887 + ... + 344113.

Almost surely, 2^78088000 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 78088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99376992).

78088000 is an abundant number, since it is smaller than the sum of its proper divisors (120665984).

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

78088000 is a wasteful number, since it uses less digits than its factorization.

78088000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 78088000 is about 8836.7414808854. The cubic root of 78088000 is about 427.4264889617.

The spelling of 78088000 in words is "seventy-eight million, eighty-eight thousand".