78085600 has 36 divisors (see below), whose sum is σ = 190628424. Its totient is φ = 31233920.

The previous prime is 78085571. The next prime is 78085627. The reversal of 78085600 is 658087.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48004 + ... + 49603.

It is an arithmetic number, because the mean of its divisors is an integer number (5295234).

Almost surely, 2^78085600 is an apocalyptic number.

It is an amenable number.

78085600 is an abundant number, since it is smaller than the sum of its proper divisors (112542824).

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

78085600 is a wasteful number, since it uses less digits than its factorization.

78085600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97627 (or 97614 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 78085600 is about 8836.6056831795. The cubic root of 78085600 is about 427.4221099958.

The spelling of 78085600 in words is "seventy-eight million, eighty-five thousand, six hundred".