77643675 has 72 divisors (see below), whose sum is σ = 150418944. Its totient is φ = 38138880.

The previous prime is 77643673. The next prime is 77643721. The reversal of 77643675 is 57634677.

It is not a de Polignac number, because 77643675 - 2¹ = 77643673 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 77643675.

It is not an unprimeable number, because it can be changed into a prime (77643673) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 202534 + ... + 202916.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^77643675 is an apocalyptic number.

77643675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

77643675 is a deficient number, since it is larger than the sum of its proper divisors (72775269).

77643675 is a wasteful number, since it uses less digits than its factorization.

77643675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 77643675 is about 8811.5648439990. The cubic root of 77643675 is about 426.6142530695.

The spelling of 77643675 in words is "seventy-seven million, six hundred forty-three thousand, six hundred seventy-five".