78019200 has 480 divisors, whose sum is σ = 336689760. Its totient is φ = 17418240.

The previous prime is 78019177. The next prime is 78019217. The reversal of 78019200 is 291087.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 1814379 + ... + 1814421.

It is an arithmetic number, because the mean of its divisors is an integer number (701437).

Almost surely, 2^78019200 is an apocalyptic number.

78019200 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 78019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168344880).

78019200 is an abundant number, since it is smaller than the sum of its proper divisors (258670560).

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

78019200 is a wasteful number, since it uses less digits than its factorization.

78019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 78019200 is about 8832.8477853974. The cubic root of 78019200 is about 427.3009230059.

The spelling of 78019200 in words is "seventy-eight million, nineteen thousand, two hundred".