78533280 has 384 divisors, whose sum is σ = 326592000. Its totient is φ = 17611776.

The previous prime is 78533267. The next prime is 78533341. The reversal of 78533280 is 8233587.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 1481734 + ... + 1481786.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 2^78533280 is an apocalyptic number.

78533280 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 78533280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

78533280 is an abundant number, since it is smaller than the sum of its proper divisors (248058720).

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

78533280 is a wasteful number, since it uses less digits than its factorization.

78533280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78533280 is about 8861.9004733748. The cubic root of 78533280 is about 428.2373854173.

The spelling of 78533280 in words is "seventy-eight million, five hundred thirty-three thousand, two hundred eighty".