769061328 has 160 divisors (see below), whose sum is σ = 2406988800. Its totient is φ = 206696448.

The previous prime is 769061303. The next prime is 769061341. The reversal of 769061328 is 823160967.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 769061328.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1142400 + ... + 1143072.

It is an arithmetic number, because the mean of its divisors is an integer number (15043680).

Almost surely, 2^769061328 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 769061328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1203494400).

769061328 is an abundant number, since it is smaller than the sum of its proper divisors (1637927472).

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

769061328 is a wasteful number, since it uses less digits than its factorization.

769061328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 769061328 is about 27731.9549977999. The cubic root of 769061328 is about 916.1930461469.

The spelling of 769061328 in words is "seven hundred sixty-nine million, sixty-one thousand, three hundred twenty-eight".