78443400 has 192 divisors, whose sum is σ = 292838400. Its totient is φ = 16968960.

The previous prime is 78443371. The next prime is 78443413. The reversal of 78443400 is 434487.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79309 + ... + 80291.

It is an arithmetic number, because the mean of its divisors is an integer number (1525200).

Almost surely, 2^78443400 is an apocalyptic number.

78443400 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 78443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146419200).

78443400 is an abundant number, since it is smaller than the sum of its proper divisors (214395000).

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

78443400 is a wasteful number, since it uses less digits than its factorization.

78443400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 78443400 is about 8856.8278745835. The cubic root of 78443400 is about 428.0739529241.

Adding to 78443400 its reverse (434487), we get a palindrome (78877887).

The spelling of 78443400 in words is "seventy-eight million, four hundred forty-three thousand, four hundred".