813778272 has 192 divisors, whose sum is σ = 2558545920. Its totient is φ = 250905600.

The previous prime is 813778267. The next prime is 813778279. The reversal of 813778272 is 272877318.

It is a happy number.

813778272 is a `hidden beast` number, since 8 + 1 + 377 + 8 + 272 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (813778279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 615372 + ... + 616692.

It is an arithmetic number, because the mean of its divisors is an integer number (13325760).

Almost surely, 2^813778272 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 813778272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279272960).

813778272 is an abundant number, since it is smaller than the sum of its proper divisors (1744767648).

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

813778272 is a wasteful number, since it uses less digits than its factorization.

813778272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1380 counting only the distinct ones).

The product of its digits is 263424, while the sum is 45.

The square root of 813778272 is about 28526.7991895340. The cubic root of 813778272 is about 933.6168830090.

The spelling of 813778272 in words is "eight hundred thirteen million, seven hundred seventy-eight thousand, two hundred seventy-two".