78243200 has 144 divisors (see below), whose sum is σ = 225292500. Its totient is φ = 26772480.

The previous prime is 78243181. The next prime is 78243241. The reversal of 78243200 is 234287.

It is a super-2 number, since 2×78243200² = 12243996692480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 78243200.

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 17 ways as a sum of consecutive naturals, for example, 156551 + ... + 157049.

Almost surely, 2^78243200 is an apocalyptic number.

78243200 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 78243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112646250).

78243200 is an abundant number, since it is smaller than the sum of its proper divisors (147049300).

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

78243200 is a wasteful number, since it uses less digits than its factorization.

78243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 78243200 is about 8845.5186394015. The cubic root of 78243200 is about 427.7094717996.

Adding to 78243200 its reverse (234287), we get a palindrome (78477487).

The spelling of 78243200 in words is "seventy-eight million, two hundred forty-three thousand, two hundred".