77528745 has 160 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 31933440.

The previous prime is 77528729. The next prime is 77528747. The reversal of 77528745 is 54782577.

It is not a de Polignac number, because 77528745 - 2⁴ = 77528729 is a prime.

It is a super-3 number, since 3×77528745³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 77528745.

It is not an unprimeable number, because it can be changed into a prime (77528747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1890925 + ... + 1890965.

It is an arithmetic number, because the mean of its divisors is an integer number (1097712).

Almost surely, 2^77528745 is an apocalyptic number.

It is an amenable number.

77528745 is an abundant number, since it is smaller than the sum of its proper divisors (98105175).

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

77528745 is a wasteful number, since it uses less digits than its factorization.

77528745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 108 counting only the distinct ones).

The product of its digits is 548800, while the sum is 45.

The square root of 77528745 is about 8805.0408857654. The cubic root of 77528745 is about 426.4036542959.

The spelling of 77528745 in words is "seventy-seven million, five hundred twenty-eight thousand, seven hundred forty-five".