77828280 has 64 divisors (see below), whose sum is σ = 238930560. Its totient is φ = 20270208.

The previous prime is 77828273. The next prime is 77828341. The reversal of 77828280 is 8282877.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2382 + ... + 12701.

It is an arithmetic number, because the mean of its divisors is an integer number (3733290).

Almost surely, 2^77828280 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 77828280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119465280).

77828280 is an abundant number, since it is smaller than the sum of its proper divisors (161102280).

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

77828280 is a wasteful number, since it uses less digits than its factorization.

77828280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15140 (or 15136 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 77828280 is about 8822.0337791237. The cubic root of 77828280 is about 426.9520903784.

It can be divided in two parts, 7 and 7828280, that added together give a palindrome (7828287).

The spelling of 77828280 in words is "seventy-seven million, eight hundred twenty-eight thousand, two hundred eighty".