770016 has 48 divisors (see below), whose sum is σ = 2180304. Its totient is φ = 236544.

The previous prime is 769999. The next prime is 770027. The reversal of 770016 is 610077.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 769974 and 770001.

It is a congruent number.

It is an unprimeable number.

770016 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 7 ways as a sum of consecutive naturals, for example, 940 + ... + 1556.

It is an arithmetic number, because the mean of its divisors is an integer number (45423).

2⁷⁷⁰⁰¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090152).

770016 is an abundant number, since it is smaller than the sum of its proper divisors (1410288).

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

770016 is a wasteful number, since it uses less digits than its factorization.

770016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 770016 is about 877.5055555380. The cubic root of 770016 is about 91.6571993896.

The spelling of 770016 in words is "seven hundred seventy thousand, sixteen".