78025600 has 96 divisors (see below), whose sum is σ = 198257400. Its totient is φ = 30320640.

The previous prime is 78025559. The next prime is 78025603. The reversal of 78025600 is 652087.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78025603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118071 + ... + 118729.

Almost surely, 2^78025600 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 78025600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99128700).

78025600 is an abundant number, since it is smaller than the sum of its proper divisors (120231800).

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

78025600 is a wasteful number, since it uses less digits than its factorization.

78025600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 78025600 is about 8833.2100620329. The cubic root of 78025600 is about 427.3126066732.

Adding to 78025600 its reverse (652087), we get a palindrome (78677687).

The spelling of 78025600 in words is "seventy-eight million, twenty-five thousand, six hundred".