810377436 has 96 divisors (see below), whose sum is σ = 2207358720. Its totient is φ = 228787200.

The previous prime is 810377419. The next prime is 810377489. The reversal of 810377436 is 634773018.

It is a junction number, because it is equal to n+sod(n) for n = 810377394 and 810377403.

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 31 ways as a sum of consecutive naturals, for example, 150340 + ... + 155636.

It is an arithmetic number, because the mean of its divisors is an integer number (22993320).

Almost surely, 2^810377436 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 810377436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103679360).

810377436 is an abundant number, since it is smaller than the sum of its proper divisors (1396981284).

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

810377436 is a wasteful number, since it uses less digits than its factorization.

810377436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 810377436 is about 28467.1290438639. The cubic root of 810377436 is about 932.3145171312.

The spelling of 810377436 in words is "eight hundred ten million, three hundred seventy-seven thousand, four hundred thirty-six".