779457960 has 96 divisors (see below), whose sum is σ = 2538900000. Its totient is φ = 207391104.

The previous prime is 779457937. The next prime is 779457983. The reversal of 779457960 is 69754977.

It is a happy number.

779457960 is a `hidden beast` number, since 7 + 7 + 9 + 4 + 579 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (779457937) and next prime (779457983).

It is a super-2 number, since 2×779457960² = 1215109422814723200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 779457897 and 779457906.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177471 + ... + 181809.

It is an arithmetic number, because the mean of its divisors is an integer number (26446875).

Almost surely, 2^779457960 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 779457960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269450000).

779457960 is an abundant number, since it is smaller than the sum of its proper divisors (1759442040).

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

779457960 is a wasteful number, since it uses less digits than its factorization.

779457960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4855 (or 4848 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 779457960 is about 27918.7743283977. The cubic root of 779457960 is about 920.3031294749.

It can be divided in two parts, 77945 and 7960, that added together give a triangular number (85905 = T₄₁₄).

The spelling of 779457960 in words is "seven hundred seventy-nine million, four hundred fifty-seven thousand, nine hundred sixty".