78075900 has 324 divisors, whose sum is σ = 307511568. Its totient is φ = 16796160.

The previous prime is 78075871. The next prime is 78075901. The reversal of 78075900 is 957087.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78075901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4592692 + ... + 4592708.

Almost surely, 2^78075900 is an apocalyptic number.

78075900 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 78075900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153755784).

78075900 is an abundant number, since it is smaller than the sum of its proper divisors (229435668).

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

78075900 is a wasteful number, since it uses less digits than its factorization.

78075900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 78075900 is about 8836.0568128549. The cubic root of 78075900 is about 427.4044107607.

The spelling of 78075900 in words is "seventy-eight million, seventy-five thousand, nine hundred".