769634320 has 160 divisors (see below), whose sum is σ = 2234856960. Its totient is φ = 239984640.

The previous prime is 769634317. The next prime is 769634347. The reversal of 769634320 is 23436967.

769634320 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516136 + ... + 517624.

It is an arithmetic number, because the mean of its divisors is an integer number (13967856).

Almost surely, 2^769634320 is an apocalyptic number.

769634320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117428480).

769634320 is an abundant number, since it is smaller than the sum of its proper divisors (1465222640).

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

769634320 is a wasteful number, since it uses less digits than its factorization.

769634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The square root of 769634320 is about 27742.2839723048. The cubic root of 769634320 is about 916.4205273388.

The spelling of 769634320 in words is "seven hundred sixty-nine million, six hundred thirty-four thousand, three hundred twenty".