779950581228 has 576 divisors, whose sum is σ = 2665824537600. Its totient is φ = 191906288640.

The previous prime is 779950581227. The next prime is 779950581247. The reversal of 779950581228 is 822185059977.

779950581228 is a `hidden beast` number, since 7 + 7 + 99 + 505 + 8 + 12 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (779950581227) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 213157663 + ... + 213161321.

It is an arithmetic number, because the mean of its divisors is an integer number (4628167600).

Almost surely, 2^779950581228 is an apocalyptic number.

779950581228 is a gapful number since it is divisible by the number (78) 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 779950581228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332912268800).

779950581228 is an abundant number, since it is smaller than the sum of its proper divisors (1885873956372).

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

779950581228 is a wasteful number, since it uses less digits than its factorization.

779950581228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 779950581228 in words is "seven hundred seventy-nine billion, nine hundred fifty million, five hundred eighty-one thousand, two hundred twenty-eight".