779000040 has 576 divisors, whose sum is σ = 3286483200. Its totient is φ = 158505984.

The previous prime is 779000029. The next prime is 779000071. The reversal of 779000040 is 40000977.

It is a junction number, because it is equal to n+sod(n) for n = 778999968 and 779000013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9860721 + ... + 9860799.

It is an arithmetic number, because the mean of its divisors is an integer number (5705700).

Almost surely, 2^779000040 is an apocalyptic number.

779000040 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 779000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643241600).

779000040 is an abundant number, since it is smaller than the sum of its proper divisors (2507483160).

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

779000040 is a wasteful number, since it uses less digits than its factorization.

779000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 779000040 is about 27910.5721904801. The cubic root of 779000040 is about 920.1228726877.

The spelling of 779000040 in words is "seven hundred seventy-nine million, forty", and thus it is an aban number.