810419040 has 96 divisors (see below), whose sum is σ = 2836481760. Its totient is φ = 216110592.

The previous prime is 810419021. The next prime is 810419047. The reversal of 810419040 is 40914018.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 810418995 and 810419013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810419047) 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, 89479 + ... + 98118.

It is an arithmetic number, because the mean of its divisors is an integer number (29546685).

Almost surely, 2^810419040 is an apocalyptic number.

810419040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

810419040 is an abundant number, since it is smaller than the sum of its proper divisors (2026062720).

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

810419040 is a wasteful number, since it uses less digits than its factorization.

810419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187621 (or 187607 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 810419040 is about 28467.8597720306. The cubic root of 810419040 is about 932.3304715691.

The spelling of 810419040 in words is "eight hundred ten million, four hundred nineteen thousand, forty".