78062400 has 336 divisors, whose sum is σ = 308660800. Its totient is φ = 19077120.

The previous prime is 78062389. The next prime is 78062449. The reversal of 78062400 is 426087.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 561531 + ... + 561669.

Almost surely, 2^78062400 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 78062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154330400).

78062400 is an abundant number, since it is smaller than the sum of its proper divisors (230598400).

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

78062400 is a wasteful number, since it uses less digits than its factorization.

78062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 162 counting only the distinct ones).

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

The square root of 78062400 is about 8835.2928644160. The cubic root of 78062400 is about 427.3797753648.

Adding to 78062400 its reverse (426087), we get a palindrome (78488487).

The spelling of 78062400 in words is "seventy-eight million, sixty-two thousand, four hundred".