77318280 has 128 divisors (see below), whose sum is σ = 277603200. Its totient is φ = 19028736.

The previous prime is 77318273. The next prime is 77318299. The reversal of 77318280 is 8281377.

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 31 ways as a sum of consecutive naturals, for example, 11287 + ... + 16793.

It is an arithmetic number, because the mean of its divisors is an integer number (2168775).

Almost surely, 2^77318280 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 77318280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138801600).

77318280 is an abundant number, since it is smaller than the sum of its proper divisors (200284920).

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

77318280 is a wasteful number, since it uses less digits than its factorization.

77318280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5540 (or 5530 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 77318280 is about 8793.0813711690. The cubic root of 77318280 is about 426.0174561385.

The spelling of 77318280 in words is "seventy-seven million, three hundred eighteen thousand, two hundred eighty".