77852153 has 12 divisors (see below), whose sum is σ = 82600620. Its totient is φ = 73288320.

The previous prime is 77852123. The next prime is 77852161. The reversal of 77852153 is 35125877.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 33269824 + 44582329 = 5768^2 + 6677^2 .

It is not a de Polignac number, because 77852153 - 2²⁰ = 76803577 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (77852123) 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 11 ways as a sum of consecutive naturals, for example, 47951 + ... + 49547.

It is an arithmetic number, because the mean of its divisors is an integer number (6883385).

Almost surely, 2^77852153 is an apocalyptic number.

It is an amenable number.

77852153 is a deficient number, since it is larger than the sum of its proper divisors (4748467).

77852153 is a wasteful number, since it uses less digits than its factorization.

77852153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1667 counting only the distinct ones).

The product of its digits is 58800, while the sum is 38.

The square root of 77852153 is about 8823.3867080617. The cubic root of 77852153 is about 426.9957402585.

The spelling of 77852153 in words is "seventy-seven million, eight hundred fifty-two thousand, one hundred fifty-three".