810874960 has 80 divisors (see below), whose sum is σ = 2182003200. Its totient is φ = 274480128.

The previous prime is 810874957. The next prime is 810874963. The reversal of 810874960 is 69478018.

It is an interprime number because it is at equal distance from previous prime (810874957) and next prime (810874963).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810874963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35076 + ... + 53404.

It is an arithmetic number, because the mean of its divisors is an integer number (27275040).

Almost surely, 2^810874960 is an apocalyptic number.

810874960 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 810874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091001600).

810874960 is an abundant number, since it is smaller than the sum of its proper divisors (1371128240).

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

810874960 is a wasteful number, since it uses less digits than its factorization.

810874960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18428 (or 18422 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 43.

The square root of 810874960 is about 28475.8662730390. The cubic root of 810874960 is about 932.5052734933.

The spelling of 810874960 in words is "eight hundred ten million, eight hundred seventy-four thousand, nine hundred sixty".