780769152 has 128 divisors (see below), whose sum is σ = 2315808000. Its totient is φ = 258964992.

The previous prime is 780769141. The next prime is 780769159. The reversal of 780769152 is 251967087.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 780769098 and 780769107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780769159) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 908499 + ... + 909357.

It is an arithmetic number, because the mean of its divisors is an integer number (18092250).

Almost surely, 2^780769152 is an apocalyptic number.

780769152 is a gapful number since it is divisible by the number (72) 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 780769152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157904000).

780769152 is an abundant number, since it is smaller than the sum of its proper divisors (1535038848).

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

780769152 is a wasteful number, since it uses less digits than its factorization.

780769152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 780769152 is about 27942.2467242704. The cubic root of 780769152 is about 920.8188802347.

The spelling of 780769152 in words is "seven hundred eighty million, seven hundred sixty-nine thousand, one hundred fifty-two".