769794480 has 480 divisors, whose sum is σ = 3293122560. Its totient is φ = 156764160.

The previous prime is 769794479. The next prime is 769794503. The reversal of 769794480 is 84497967.

It is a happy number.

769794480 is a `hidden beast` number, since 76 + 9 + 7 + 94 + 480 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 2030931 + ... + 2031309.

It is an arithmetic number, because the mean of its divisors is an integer number (6860672).

Almost surely, 2^769794480 is an apocalyptic number.

769794480 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 769794480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646561280).

769794480 is an abundant number, since it is smaller than the sum of its proper divisors (2523328080).

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

769794480 is a wasteful number, since it uses less digits than its factorization.

769794480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 769794480 is about 27745.1703905382. The cubic root of 769794480 is about 916.4840916090.

The spelling of 769794480 in words is "seven hundred sixty-nine million, seven hundred ninety-four thousand, four hundred eighty".