78520800 has 72 divisors (see below), whose sum is σ = 255593016. Its totient is φ = 20938240.

The previous prime is 78520789. The next prime is 78520801. The reversal of 78520800 is 802587.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78520801) 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, 13959 + ... + 18758.

It is an arithmetic number, because the mean of its divisors is an integer number (3549903).

Almost surely, 2^78520800 is an apocalyptic number.

It is an amenable number.

78520800 is an abundant number, since it is smaller than the sum of its proper divisors (177072216).

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

78520800 is a wasteful number, since it uses less digits than its factorization.

78520800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32740 (or 32727 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 78520800 is about 8861.1963074971. The cubic root of 78520800 is about 428.2146999788.

The spelling of 78520800 in words is "seventy-eight million, five hundred twenty thousand, eight hundred".