78964600 has 144 divisors (see below), whose sum is σ = 218189160. Its totient is φ = 26400000.

The previous prime is 78964591. The next prime is 78964607. The reversal of 78964600 is 646987.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78964607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 314475 + ... + 314725.

Almost surely, 2^78964600 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 78964600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109094580).

78964600 is an abundant number, since it is smaller than the sum of its proper divisors (139224560).

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

78964600 is a wasteful number, since it uses less digits than its factorization.

78964600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 78964600 is about 8886.2027885931. The cubic root of 78964600 is about 429.0199420929.

The spelling of 78964600 in words is "seventy-eight million, nine hundred sixty-four thousand, six hundred".