830777822420 has 192 divisors, whose sum is σ = 2206959422976. Its totient is φ = 255625943040.

The previous prime is 830777822389. The next prime is 830777822471. The reversal of 830777822420 is 24228777038.

830777822420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105787214 + ... + 105795066.

It is an arithmetic number, because the mean of its divisors is an integer number (11494580328).

Almost surely, 2^830777822420 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 830777822420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103479711488).

830777822420 is an abundant number, since it is smaller than the sum of its proper divisors (1376181600556).

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

830777822420 is a wasteful number, since it uses less digits than its factorization.

830777822420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9490 (or 9488 counting only the distinct ones).

The product of its (nonzero) digits is 2107392, while the sum is 50.

The spelling of 830777822420 in words is "eight hundred thirty billion, seven hundred seventy-seven million, eight hundred twenty-two thousand, four hundred twenty".