77997333 has 16 divisors (see below), whose sum is σ = 107937792. Its totient is φ = 50046000.

The previous prime is 77997331. The next prime is 77997349. The reversal of 77997333 is 33379977.

It is not a de Polignac number, because 77997333 - 2¹ = 77997331 is a prime.

It is a super-2 number, since 2×77997333² = 12167167910225778, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77997331) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15568 + ... + 19958.

It is an arithmetic number, because the mean of its divisors is an integer number (6746112).

Almost surely, 2^77997333 is an apocalyptic number.

It is an amenable number.

77997333 is a deficient number, since it is larger than the sum of its proper divisors (29940459).

77997333 is a wasteful number, since it uses less digits than its factorization.

77997333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4616.

The product of its digits is 750141, while the sum is 48.

The square root of 77997333 is about 8831.6098758947. The cubic root of 77997333 is about 427.2609983789.

The spelling of 77997333 in words is "seventy-seven million, nine hundred ninety-seven thousand, three hundred thirty-three".