78514800 has 240 divisors, whose sum is σ = 309980160. Its totient is φ = 16542720.

The previous prime is 78514741. The next prime is 78514817. The reversal of 78514800 is 841587.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 108841 + ... + 109559.

It is an arithmetic number, because the mean of its divisors is an integer number (1291584).

Almost surely, 2^78514800 is an apocalyptic number.

78514800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78514800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154990080).

78514800 is an abundant number, since it is smaller than the sum of its proper divisors (231465360).

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

78514800 is a wasteful number, since it uses less digits than its factorization.

78514800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 78514800 is about 8860.8577462907. The cubic root of 78514800 is about 428.2037926623.

The spelling of 78514800 in words is "seventy-eight million, five hundred fourteen thousand, eight hundred".