779542480 has 80 divisors (see below), whose sum is σ = 1924229520. Its totient is φ = 292683776.

The previous prime is 779542459. The next prime is 779542481. The reversal of 779542480 is 84245977.

It can be written as a sum of positive squares in 8 ways, for example, as 215384976 + 564157504 = 14676^2 + 23752^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×779542480³ (a number of 28 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 779542480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (779542481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838656 + ... + 839584.

It is an arithmetic number, because the mean of its divisors is an integer number (24052869).

Almost surely, 2^779542480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 779542480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962114760).

779542480 is an abundant number, since it is smaller than the sum of its proper divisors (1144687040).

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

779542480 is a wasteful number, since it uses less digits than its factorization.

779542480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 779542480 is about 27920.2879641310. The cubic root of 779542480 is about 920.3363924231.

The spelling of 779542480 in words is "seven hundred seventy-nine million, five hundred forty-two thousand, four hundred eighty".