77528880 has 320 divisors, whose sum is σ = 314979840. Its totient is φ = 17280000.

The previous prime is 77528863. The next prime is 77528921. The reversal of 77528880 is 8882577.

77528880 = 1541² + 1542² + ... + 1572².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308755 + ... + 309005.

It is an arithmetic number, because the mean of its divisors is an integer number (984312).

Almost surely, 2^77528880 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 77528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

77528880 is an abundant number, since it is smaller than the sum of its proper divisors (237450960).

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

77528880 is a wasteful number, since it uses less digits than its factorization.

77528880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 77528880 is about 8805.0485518253. The cubic root of 77528880 is about 426.4039017932.

The spelling of 77528880 in words is "seventy-seven million, five hundred twenty-eight thousand, eight hundred eighty".