770133 has 36 divisors (see below), whose sum is σ = 1335168. Its totient is φ = 393120.

The previous prime is 770129. The next prime is 770167. The reversal of 770133 is 331077.

It is not a de Polignac number, because 770133 - 2² = 770129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24828 + ... + 24858.

It is an arithmetic number, because the mean of its divisors is an integer number (37088).

2⁷⁷⁰¹³³ is an apocalyptic number.

770133 is the 507-th octagonal number.

It is an amenable number.

770133 is a deficient number, since it is larger than the sum of its proper divisors (565035).

770133 is a wasteful number, since it uses less digits than its factorization.

770133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 21.

The square root of 770133 is about 877.5722192504. The cubic root of 770133 is about 91.6618414356.

It can be divided in two parts, 770 and 133, that added together give a triangular number (903 = T₄₂).

The spelling of 770133 in words is "seven hundred seventy thousand, one hundred thirty-three".