78305400 has 192 divisors, whose sum is σ = 285919200. Its totient is φ = 19630080.

The previous prime is 78305399. The next prime is 78305413. The reversal of 78305400 is 450387.

It is a super-2 number, since 2×78305400² = 12263471338320000, which contains 22 as substring.

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

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, 91374 + ... + 92226.

Almost surely, 2^78305400 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 78305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142959600).

78305400 is an abundant number, since it is smaller than the sum of its proper divisors (207613800).

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

78305400 is a wasteful number, since it uses less digits than its factorization.

78305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 78305400 is about 8849.0338455675. The cubic root of 78305400 is about 427.8227786970.

Adding to 78305400 its reverse (450387), we get a palindrome (78755787).

The spelling of 78305400 in words is "seventy-eight million, three hundred five thousand, four hundred".