78233400 has 216 divisors, whose sum is σ = 305973720. Its totient is φ = 17861760.

The previous prime is 78233399. The next prime is 78233401. The reversal of 78233400 is 433287.

It is an interprime number because it is at equal distance from previous prime (78233399) and next prime (78233401).

It is a super-2 number, since 2×78233400² = 12240929751120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78233401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 87757 + ... + 88643.

It is an arithmetic number, because the mean of its divisors is an integer number (1416545).

Almost surely, 2^78233400 is an apocalyptic number.

78233400 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 78233400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152986860).

78233400 is an abundant number, since it is smaller than the sum of its proper divisors (227740320).

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

78233400 is a wasteful number, since it uses less digits than its factorization.

78233400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 923 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 78233400 is about 8844.9646692341. The cubic root of 78233400 is about 427.6916141121.

Adding to 78233400 its reverse (433287), we get a palindrome (78666687).

The spelling of 78233400 in words is "seventy-eight million, two hundred thirty-three thousand, four hundred".