78449280 has 256 divisors, whose sum is σ = 308448000. Its totient is φ = 16515072.

The previous prime is 78449269. The next prime is 78449281. The reversal of 78449280 is 8294487.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (78449281) 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, 174496 + ... + 174944.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^78449280 is an apocalyptic number.

78449280 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 78449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154224000).

78449280 is an abundant number, since it is smaller than the sum of its proper divisors (229998720).

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

78449280 is a wasteful number, since it uses less digits than its factorization.

78449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 78449280 is about 8857.1598156520. The cubic root of 78449280 is about 428.0846485847.

The spelling of 78449280 in words is "seventy-eight million, four hundred forty-nine thousand, two hundred eighty".