78399300 has 144 divisors (see below), whose sum is σ = 266510720. Its totient is φ = 17418240.

The previous prime is 78399283. The next prime is 78399311. The reversal of 78399300 is 399387.

It is a happy number.

It is a super-2 number, since 2×78399300² = 12292900480980000, which contains 22 as substring.

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, 77196 + ... + 78204.

Almost surely, 2^78399300 is an apocalyptic number.

78399300 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 78399300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133255360).

78399300 is an abundant number, since it is smaller than the sum of its proper divisors (188111420).

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

78399300 is a wasteful number, since it uses less digits than its factorization.

78399300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 78399300 is about 8854.3379199125. The cubic root of 78399300 is about 427.9937184276.

The spelling of 78399300 in words is "seventy-eight million, three hundred ninety-nine thousand, three hundred".