78782400 has 126 divisors (see below), whose sum is σ = 280062432. Its totient is φ = 21004800.

The previous prime is 78782399. The next prime is 78782441. The reversal of 78782400 is 428787.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11665 + ... + 17135.

Almost surely, 2^78782400 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 78782400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140031216).

78782400 is an abundant number, since it is smaller than the sum of its proper divisors (201280032).

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

78782400 is a wasteful number, since it uses less digits than its factorization.

78782400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5499 (or 5481 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 78782400 is about 8875.9450201091. The cubic root of 78782400 is about 428.6897197281.

The spelling of 78782400 in words is "seventy-eight million, seven hundred eighty-two thousand, four hundred".