813151440 has 160 divisors (see below), whose sum is σ = 2854103040. Its totient is φ = 212719104.

The previous prime is 813151433. The next prime is 813151477. The reversal of 813151440 is 44151318.

It is a happy number.

813151440 is a `hidden beast` number, since 81 + 31 + 514 + 40 = 666.

813151440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×813151440² = 1322430528748147200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110929 + ... + 118031.

It is an arithmetic number, because the mean of its divisors is an integer number (17838144).

Almost surely, 2^813151440 is an apocalyptic number.

813151440 is a gapful number since it is divisible by the number (80) 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 813151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427051520).

813151440 is an abundant number, since it is smaller than the sum of its proper divisors (2040951600).

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

813151440 is a wasteful number, since it uses less digits than its factorization.

813151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7178 (or 7166 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 813151440 is about 28515.8103514524. The cubic root of 813151440 is about 933.3771079242.

The spelling of 813151440 in words is "eight hundred thirteen million, one hundred fifty-one thousand, four hundred forty".