78042600 has 144 divisors (see below), whose sum is σ = 264625920. Its totient is φ = 20611200.

The previous prime is 78042589. The next prime is 78042617. The reversal of 78042600 is 624087.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 343687 + ... + 343913.

It is an arithmetic number, because the mean of its divisors is an integer number (1837680).

Almost surely, 2^78042600 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 78042600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132312960).

78042600 is an abundant number, since it is smaller than the sum of its proper divisors (186583320).

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

78042600 is a wasteful number, since it uses less digits than its factorization.

78042600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78042600 is about 8834.1722872038. The cubic root of 78042600 is about 427.3436383124.

Adding to 78042600 its reverse (624087), we get a palindrome (78666687).

It can be divided in two parts, 7804 and 2600, that added together give a square (10404 = 102²).

The spelling of 78042600 in words is "seventy-eight million, forty-two thousand, six hundred".