78730080 has 384 divisors, whose sum is σ = 308883456. Its totient is φ = 16588800.

The previous prime is 78730079. The next prime is 78730087. The reversal of 78730080 is 8003787.

78730080 = 140² + 141² + ... + 620².

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78730087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2127822 + ... + 2127858.

It is an arithmetic number, because the mean of its divisors is an integer number (804384).

Almost surely, 2^78730080 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 78730080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154441728).

78730080 is an abundant number, since it is smaller than the sum of its proper divisors (230153376).

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

78730080 is a wasteful number, since it uses less digits than its factorization.

78730080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 78730080 is about 8872.9972388140. The cubic root of 78730080 is about 428.5947999953.

The spelling of 78730080 in words is "seventy-eight million, seven hundred thirty thousand, eighty".