769278016 has 112 divisors (see below), whose sum is σ = 1757787696. Its totient is φ = 330891264.

The previous prime is 769278001. The next prime is 769278017. The reversal of 769278016 is 610872967.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5308416 + 763969600 = 2304^2 + 27640^2 .

It is not an unprimeable number, because it can be changed into a prime (769278017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1937530 + ... + 1937926.

It is an arithmetic number, because the mean of its divisors is an integer number (15694533).

Almost surely, 2^769278016 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 769278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878893848).

769278016 is an abundant number, since it is smaller than the sum of its proper divisors (988509680).

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

769278016 is a wasteful number, since it uses less digits than its factorization.

769278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The square root of 769278016 is about 27735.8615514283. The cubic root of 769278016 is about 916.2790858376.

The spelling of 769278016 in words is "seven hundred sixty-nine million, two hundred seventy-eight thousand, sixteen".