78206400 has 126 divisors (see below), whose sum is σ = 278015192. Its totient is φ = 20851200.

The previous prime is 78206399. The next prime is 78206423. The reversal of 78206400 is 460287.

It is a super-2 number, since 2×78206400² = 12232482001920000, 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 17 ways as a sum of consecutive naturals, for example, 11685 + ... + 17115.

Almost surely, 2^78206400 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 78206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139007596).

78206400 is an abundant number, since it is smaller than the sum of its proper divisors (199808792).

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

78206400 is a wasteful number, since it uses less digits than its factorization.

78206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5441 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78206400 is about 8843.4382453885. The cubic root of 78206400 is about 427.6424066454.

Adding to 78206400 its reverse (460287), we get a palindrome (78666687).

It can be divided in two parts, 78206 and 400, that added together give a triangular number (78606 = T₃₉₆).

The spelling of 78206400 in words is "seventy-eight million, two hundred six thousand, four hundred".