78467200 has 192 divisors, whose sum is σ = 230699520. Its totient is φ = 25804800.

The previous prime is 78467183. The next prime is 78467239. The reversal of 78467200 is 276487.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 694344 + ... + 694456.

It is an arithmetic number, because the mean of its divisors is an integer number (1201560).

Almost surely, 2^78467200 is an apocalyptic number.

78467200 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 78467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115349760).

78467200 is an abundant number, since it is smaller than the sum of its proper divisors (152232320).

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

78467200 is a wasteful number, since it uses less digits than its factorization.

78467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 78467200 is about 8858.1713688549. The cubic root of 78467200 is about 428.1172415878.

The spelling of 78467200 in words is "seventy-eight million, four hundred sixty-seven thousand, two hundred".