78008400 has 240 divisors, whose sum is σ = 287838720. Its totient is φ = 20044800.

The previous prime is 78008383. The next prime is 78008401. The reversal of 78008400 is 480087.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78008401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 334684 + ... + 334916.

It is an arithmetic number, because the mean of its divisors is an integer number (1199328).

Almost surely, 2^78008400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

78008400 is an abundant number, since it is smaller than the sum of its proper divisors (209830320).

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

78008400 is a wasteful number, since it uses less digits than its factorization.

78008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 78008400 is about 8832.2364098794. The cubic root of 78008400 is about 427.2812053684.

Adding to 78008400 its reverse (480087), we get a palindrome (78488487).

The spelling of 78008400 in words is "seventy-eight million, eight thousand, four hundred".