77829145 has 12 divisors (see below), whose sum is σ = 99213804. Its totient is φ = 58599680.

The previous prime is 77829137. The next prime is 77829151. The reversal of 77829145 is 54192877.

It can be written as a sum of positive squares in 6 ways, for example, as 16801801 + 61027344 = 4099^2 + 7812^2 .

It is not a de Polignac number, because 77829145 - 2³ = 77829137 is a prime.

It is a super-2 number, since 2×77829145² = 12114751622862050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 25486 + ... + 28375.

It is an arithmetic number, because the mean of its divisors is an integer number (8267817).

Almost surely, 2^77829145 is an apocalyptic number.

It is an amenable number.

77829145 is a deficient number, since it is larger than the sum of its proper divisors (21384659).

77829145 is a wasteful number, since it uses less digits than its factorization.

77829145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53900 (or 53883 counting only the distinct ones).

The product of its digits is 141120, while the sum is 43.

The square root of 77829145 is about 8822.0828039642. The cubic root of 77829145 is about 426.9536721178.

The spelling of 77829145 in words is "seventy-seven million, eight hundred twenty-nine thousand, one hundred forty-five".