77305732 has 36 divisors (see below), whose sum is σ = 166636764. Its totient is φ = 31180800.

The previous prime is 77305717. The next prime is 77305733. The reversal of 77305732 is 23750377.

It can be written as a sum of positive squares in 2 ways, for example, as 66846976 + 10458756 = 8176^2 + 3234^2 .

It is a Smith number, since the sum of its digits (34) 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 (34).

It is not an unprimeable number, because it can be changed into a prime (77305733) 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 11 ways as a sum of consecutive naturals, for example, 8269 + ... + 14932.

It is an arithmetic number, because the mean of its divisors is an integer number (4628799).

Almost surely, 2^77305732 is an apocalyptic number.

It is an amenable number.

77305732 is an abundant number, since it is smaller than the sum of its proper divisors (89331032).

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

77305732 is a wasteful number, since it uses less digits than its factorization.

77305732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23236 (or 23227 counting only the distinct ones).

The product of its (nonzero) digits is 30870, while the sum is 34.

The square root of 77305732 is about 8792.3678267006. The cubic root of 77305732 is about 425.9944087373.

It can be divided in two parts, 77 and 305732, that added together give a square (305809 = 553²).

The spelling of 77305732 in words is "seventy-seven million, three hundred five thousand, seven hundred thirty-two".