78678600 has 384 divisors, whose sum is σ = 329978880. Its totient is φ = 14976000.

The previous prime is 78678583. The next prime is 78678643. The reversal of 78678600 is 687687.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 600535 + ... + 600665.

It is an arithmetic number, because the mean of its divisors is an integer number (859320).

Almost surely, 2^78678600 is an apocalyptic number.

78678600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78678600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164989440).

78678600 is an abundant number, since it is smaller than the sum of its proper divisors (251300280).

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

78678600 is a wasteful number, since it uses less digits than its factorization.

78678600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 78678600 is about 8870.0958281182. The cubic root of 78678600 is about 428.5013631491.

It can be divided in two parts, 786 and 78600, that multiplied together give a square (61779600 = 7860²).

The spelling of 78678600 in words is "seventy-eight million, six hundred seventy-eight thousand, six hundred".