78997600 has 144 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 27968000.

The previous prime is 78997577. The next prime is 78997603. The reversal of 78997600 is 679987.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78997603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 413505 + ... + 413695.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^78997600 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 78997600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

78997600 is an abundant number, since it is smaller than the sum of its proper divisors (136988576).

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

78997600 is a wasteful number, since it uses less digits than its factorization.

78997600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 46.

The square root of 78997600 is about 8888.0594057421. The cubic root of 78997600 is about 429.0796975038.

It can be divided in two parts, 78997 and 600, that added together give a palindrome (79597).

The spelling of 78997600 in words is "seventy-eight million, nine hundred ninety-seven thousand, six hundred".