77952693 has 64 divisors (see below), whose sum is σ = 135102464. Its totient is φ = 38880000.

The previous prime is 77952689. The next prime is 77952737. The reversal of 77952693 is 39625977.

It is not a de Polignac number, because 77952693 - 2² = 77952689 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77952643) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 516168 + ... + 516318.

It is an arithmetic number, because the mean of its divisors is an integer number (2110976).

Almost surely, 2^77952693 is an apocalyptic number.

It is an amenable number.

77952693 is a deficient number, since it is larger than the sum of its proper divisors (57149771).

77952693 is a wasteful number, since it uses less digits than its factorization.

77952693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266.

The product of its digits is 714420, while the sum is 48.

The square root of 77952693 is about 8829.0822286351. The cubic root of 77952693 is about 427.1794717846.

The spelling of 77952693 in words is "seventy-seven million, nine hundred fifty-two thousand, six hundred ninety-three".