810435378240 has 280 divisors, whose sum is σ = 2944203115392. Its totient is φ = 211517568000.

The previous prime is 810435378223. The next prime is 810435378241. The reversal of 810435378240 is 42873534018.

810435378240 is a `hidden beast` number, since 8 + 1 + 0 + 4 + 35 + 378 + 240 = 666.

810435378240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (810435378241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 885615 + ... + 1550865.

Almost surely, 2^810435378240 is an apocalyptic number.

810435378240 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 810435378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472101557696).

810435378240 is an abundant number, since it is smaller than the sum of its proper divisors (2133767737152).

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

810435378240 is a wasteful number, since it uses less digits than its factorization.

810435378240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665327 (or 665308 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 810435378240 in words is "eight hundred ten billion, four hundred thirty-five million, three hundred seventy-eight thousand, two hundred forty".