813877470 has 224 divisors, whose sum is σ = 2578080960. Its totient is φ = 181025280.

The previous prime is 813877459. The next prime is 813877501. The reversal of 813877470 is 74778318.

It is a happy number.

813877470 is a `hidden beast` number, since 81 + 38 + 77 + 470 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2092036 + ... + 2092424.

It is an arithmetic number, because the mean of its divisors is an integer number (11509290).

Almost surely, 2^813877470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813877470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289040480).

813877470 is an abundant number, since it is smaller than the sum of its proper divisors (1764203490).

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

813877470 is a wasteful number, since it uses less digits than its factorization.

813877470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 447 counting only the distinct ones).

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

The square root of 813877470 is about 28528.5378174206. The cubic root of 813877470 is about 933.6548168328.

The spelling of 813877470 in words is "eight hundred thirteen million, eight hundred seventy-seven thousand, four hundred seventy".