78804320 has 96 divisors (see below), whose sum is σ = 215986176. Its totient is φ = 26611200.

The previous prime is 78804311. The next prime is 78804329. The reversal of 78804320 is 2340887.

It is an interprime number because it is at equal distance from previous prime (78804311) and next prime (78804329).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78804329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79025 + ... + 80015.

It is an arithmetic number, because the mean of its divisors is an integer number (2249856).

Almost surely, 2^78804320 is an apocalyptic number.

78804320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088).

78804320 is an abundant number, since it is smaller than the sum of its proper divisors (137181856).

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

78804320 is a wasteful number, since it uses less digits than its factorization.

78804320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 78804320 is about 8877.1797323249. The cubic root of 78804320 is about 428.7294748311.

The spelling of 78804320 in words is "seventy-eight million, eight hundred four thousand, three hundred twenty".