78897600 has 126 divisors (see below), whose sum is σ = 280471880. Its totient is φ = 21035520.

The previous prime is 78897593. The next prime is 78897601. The reversal of 78897600 is 679887.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78897601) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11661 + ... + 17139.

Almost surely, 2^78897600 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 78897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140235940).

78897600 is an abundant number, since it is smaller than the sum of its proper divisors (201574280).

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

78897600 is a wasteful number, since it uses less digits than its factorization.

78897600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5489 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 78897600 is about 8882.4320993746. The cubic root of 78897600 is about 428.8985692683.

It can be divided in two parts, 78897 and 600, that added together give a palindrome (79497).

The spelling of 78897600 in words is "seventy-eight million, eight hundred ninety-seven thousand, six hundred".