77329280 has 128 divisors (see below), whose sum is σ = 216941760. Its totient is φ = 25804800.

The previous prime is 77329271. The next prime is 77329331. The reversal of 77329280 is 8292377.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183470 + ... + 183890.

Almost surely, 2^77329280 is an apocalyptic number.

77329280 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 77329280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108470880).

77329280 is an abundant number, since it is smaller than the sum of its proper divisors (139612480).

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

77329280 is a wasteful number, since it uses less digits than its factorization.

77329280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 77329280 is about 8793.7068406901. The cubic root of 77329280 is about 426.0376582166.

The spelling of 77329280 in words is "seventy-seven million, three hundred twenty-nine thousand, two hundred eighty".