77280528 has 80 divisors (see below), whose sum is σ = 216263936. Its totient is φ = 23639040.

The previous prime is 77280527. The next prime is 77280557. The reversal of 77280528 is 82508277.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (77280527) by changing a digit.

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, 168876 + ... + 169332.

Almost surely, 2^77280528 is an apocalyptic number.

77280528 is a gapful number since it is divisible by the number (78) 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 77280528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108131968).

77280528 is an abundant number, since it is smaller than the sum of its proper divisors (138983408).

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

77280528 is a wasteful number, since it uses less digits than its factorization.

77280528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 77280528 is about 8790.9344213229. The cubic root of 77280528 is about 425.9481080304.

The spelling of 77280528 in words is "seventy-seven million, two hundred eighty thousand, five hundred twenty-eight".