78941600 has 72 divisors (see below), whose sum is σ = 194823468. Its totient is φ = 31232000.

The previous prime is 78941579. The next prime is 78941627. The reversal of 78941600 is 614987.

It can be written as a sum of positive squares in 6 ways, for example, as 68624656 + 10316944 = 8284^2 + 3212^2 .

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 11 ways as a sum of consecutive naturals, for example, 80312 + ... + 81288.

Almost surely, 2^78941600 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 78941600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97411734).

78941600 is an abundant number, since it is smaller than the sum of its proper divisors (115881868).

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

78941600 is a wasteful number, since it uses less digits than its factorization.

78941600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 78941600 is about 8884.9085532717. The cubic root of 78941600 is about 428.9782845364.

The spelling of 78941600 in words is "seventy-eight million, nine hundred forty-one thousand, six hundred".