769449300480 has 800 divisors, whose sum is σ = 3234978590976. Its totient is φ = 171108827136.

The previous prime is 769449300421. The next prime is 769449300527. The reversal of 769449300480 is 84003944967.

It is a happy number.

769449300480 is a `hidden beast` number, since 7 + 6 + 94 + 49 + 30 + 0 + 480 = 666.

It is a super-2 number, since 2×769449300480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 79 ways as a sum of consecutive naturals, for example, 53699077 + ... + 53713403.

Almost surely, 2^769449300480 is an apocalyptic number.

769449300480 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 769449300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617489295488).

769449300480 is an abundant number, since it is smaller than the sum of its proper divisors (2465529290496).

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

769449300480 is a wasteful number, since it uses less digits than its factorization.

769449300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14406 (or 14381 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 769449300480 in words is "seven hundred sixty-nine billion, four hundred forty-nine million, three hundred thousand, four hundred eighty".