78694200 has 384 divisors, whose sum is σ = 312480000. Its totient is φ = 18040320.

The previous prime is 78694193. The next prime is 78694223. The reversal of 78694200 is 249687.

It is a super-2 number, since 2×78694200² = 12385554227280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1333771 + ... + 1333829.

It is an arithmetic number, because the mean of its divisors is an integer number (813750).

Almost surely, 2^78694200 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 78694200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240000).

78694200 is an abundant number, since it is smaller than the sum of its proper divisors (233785800).

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

78694200 is a wasteful number, since it uses less digits than its factorization.

78694200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 78694200 is about 8870.9751436919. The cubic root of 78694200 is about 428.5296816479.

The spelling of 78694200 in words is "seventy-eight million, six hundred ninety-four thousand, two hundred".