769980064 has 96 divisors (see below), whose sum is σ = 1809634176. Its totient is φ = 315601920.

The previous prime is 769980061. The next prime is 769980089. The reversal of 769980064 is 460089967.

It is not an unprimeable number, because it can be changed into a prime (769980061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504807 + ... + 506329.

It is an arithmetic number, because the mean of its divisors is an integer number (18850356).

Almost surely, 2^769980064 is an apocalyptic number.

769980064 is a gapful number since it is divisible by the number (74) 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 769980064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904817088).

769980064 is an abundant number, since it is smaller than the sum of its proper divisors (1039654112).

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

769980064 is a wasteful number, since it uses less digits than its factorization.

769980064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

The square root of 769980064 is about 27748.5146269129. The cubic root of 769980064 is about 916.5577351255.

The spelling of 769980064 in words is "seven hundred sixty-nine million, nine hundred eighty thousand, sixty-four".