78733600 has 144 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 27315200.

The previous prime is 78733573. The next prime is 78733609. The reversal of 78733600 is 633787.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (78733609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202206 + ... + 202594.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^78733600 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 78733600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

78733600 is an abundant number, since it is smaller than the sum of its proper divisors (140627360).

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

78733600 is a wasteful number, since it uses less digits than its factorization.

78733600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 78733600 is about 8873.1955912174. The cubic root of 78733600 is about 428.6011873516.

The spelling of 78733600 in words is "seventy-eight million, seven hundred thirty-three thousand, six hundred".