77685435 has 12 divisors (see below), whose sum is σ = 134654832. Its totient is φ = 41432208.

The previous prime is 77685409. The next prime is 77685449. The reversal of 77685435 is 53458677.

It is not a de Polignac number, because 77685435 - 2¹² = 77681339 is a prime.

It is a super-4 number, since 4×77685435⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 1726343 = 77685435 / (7 + 7 + 6 + 8 + 5 + 4 + 3 + 5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 863127 + ... + 863216.

It is an arithmetic number, because the mean of its divisors is an integer number (11221236).

Almost surely, 2^77685435 is an apocalyptic number.

77685435 is a deficient number, since it is larger than the sum of its proper divisors (56969397).

77685435 is a wasteful number, since it uses less digits than its factorization.

77685435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726354 (or 1726351 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 77685435 is about 8813.9341386239. The cubic root of 77685435 is about 426.6907229953.

It can be divided in two parts, 7768 and 5435, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 77685435 in words is "seventy-seven million, six hundred eighty-five thousand, four hundred thirty-five".