78786800 has 60 divisors (see below), whose sum is σ = 190139616. Its totient is φ = 31372800.

The previous prime is 78786797. The next prime is 78786803. The reversal of 78786800 is 868787.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78786797) and next prime (78786803).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78786803) 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 11 ways as a sum of consecutive naturals, for example, 172172 + ... + 172628.

Almost surely, 2^78786800 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 78786800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95069808).

78786800 is an abundant number, since it is smaller than the sum of its proper divisors (111352816).

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

78786800 is a wasteful number, since it uses less digits than its factorization.

78786800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The square root of 78786800 is about 8876.1928775799. The cubic root of 78786800 is about 428.6977003585.

The spelling of 78786800 in words is "seventy-eight million, seven hundred eighty-six thousand, eight hundred".