779040000 has 270 divisors, whose sum is σ = 2811995186. Its totient is φ = 207360000.

The previous prime is 779039999. The next prime is 779040037. The reversal of 779040000 is 40977.

It can be written as a sum of positive squares in 5 ways, for example, as 345067776 + 433972224 = 18576^2 + 20832^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1439730 + ... + 1440270.

Almost surely, 2^779040000 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 779040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405997593).

779040000 is an abundant number, since it is smaller than the sum of its proper divisors (2032955186).

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

779040000 is an equidigital number, since it uses as much as digits as its factorization.

779040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 551 counting only the distinct ones).

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

The square root of 779040000 is about 27911.2880390712. The cubic root of 779040000 is about 920.1386054559.

Adding to 779040000 its reverse (40977), we get a palindrome (779080977).

The spelling of 779040000 in words is "seven hundred seventy-nine million, forty thousand".