770406 has 64 divisors (see below), whose sum is σ = 2032128. Its totient is φ = 188928.

The previous prime is 770401. The next prime is 770417. The reversal of 770406 is 604077.

770406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (770401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9241 + ... + 9323.

It is an arithmetic number, because the mean of its divisors is an integer number (31752).

2⁷⁷⁰⁴⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016064).

770406 is an abundant number, since it is smaller than the sum of its proper divisors (1261722).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

770406 is a wasteful number, since it uses less digits than its factorization.

770406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125.

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 770406 is about 877.7277482226. The cubic root of 770406 is about 91.6726710484.

It can be divided in two parts, 770 and 406, that added together give a triangular number (1176 = T₄₈).

The spelling of 770406 in words is "seven hundred seventy thousand, four hundred six".