769776 has 80 divisors (see below), whose sum is σ = 2380800. Its totient is φ = 209664.

The previous prime is 769751. The next prime is 769781. The reversal of 769776 is 677967.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an Ulam number.

Its product of digits (111132) is a multiple of the sum of its prime factors (126).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 9705 + ... + 9783.

It is an arithmetic number, because the mean of its divisors is an integer number (29760).

2⁷⁶⁹⁷⁷⁶ 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 769776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190400).

769776 is an abundant number, since it is smaller than the sum of its proper divisors (1611024).

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

769776 is a wasteful number, since it uses less digits than its factorization.

769776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its digits is 111132, while the sum is 42.

The square root of 769776 is about 877.3687936096. The cubic root of 769776 is about 91.6476757720.

Subtracting from 769776 its reverse (677967), we obtain a square (91809 = 303²).

The spelling of 769776 in words is "seven hundred sixty-nine thousand, seven hundred seventy-six".