78822400 has 66 divisors (see below), whose sum is σ = 195447560. Its totient is φ = 31518720.

The previous prime is 78822391. The next prime is 78822409. The reversal of 78822400 is 422887.

It is an interprime number because it is at equal distance from previous prime (78822391) and next prime (78822409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78822409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24061 + ... + 27139.

Almost surely, 2^78822400 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 78822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97723780).

78822400 is an abundant number, since it is smaller than the sum of its proper divisors (116625160).

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

78822400 is a wasteful number, since it uses less digits than its factorization.

78822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 31.

The square root of 78822400 is about 8878.1980153633. The cubic root of 78822400 is about 428.7622599888.

The spelling of 78822400 in words is "seventy-eight million, eight hundred twenty-two thousand, four hundred".