77288280 has 128 divisors (see below), whose sum is σ = 248209920. Its totient is φ = 19205120.

The previous prime is 77288261. The next prime is 77288287. The reversal of 77288280 is 8288277.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77288287) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 112819 + ... + 113501.

It is an arithmetic number, because the mean of its divisors is an integer number (1939140).

Almost surely, 2^77288280 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 77288280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124104960).

77288280 is an abundant number, since it is smaller than the sum of its proper divisors (170921640).

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

77288280 is a wasteful number, since it uses less digits than its factorization.

77288280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 761 (or 757 counting only the distinct ones).

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

The square root of 77288280 is about 8791.3753190272. The cubic root of 77288280 is about 425.9623498212.

The spelling of 77288280 in words is "seventy-seven million, two hundred eighty-eight thousand, two hundred eighty".