78809280 has 224 divisors, whose sum is σ = 289681920. Its totient is φ = 17940480.

The previous prime is 78809279. The next prime is 78809281. The reversal of 78809280 is 8290887.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (78809279) and next prime (78809281).

It is a super-2 number, since 2×78809280² = 12421805228236800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78809281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179301 + ... + 179739.

Almost surely, 2^78809280 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 78809280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

78809280 is an abundant number, since it is smaller than the sum of its proper divisors (210872640).

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

78809280 is a wasteful number, since it uses less digits than its factorization.

78809280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 42.

The square root of 78809280 is about 8877.4590959351. The cubic root of 78809280 is about 428.7384694885.

The spelling of 78809280 in words is "seventy-eight million, eight hundred nine thousand, two hundred eighty".