813750840 has 192 divisors, whose sum is σ = 3155565600. Its totient is φ = 185988096.

The previous prime is 813750827. The next prime is 813750871. The reversal of 813750840 is 48057318.

813750840 is a `hidden beast` number, since 81 + 37 + 508 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 813750795 and 813750804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45232 + ... + 60608.

Almost surely, 2^813750840 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 813750840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577782800).

813750840 is an abundant number, since it is smaller than the sum of its proper divisors (2341814760).

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

813750840 is a wasteful number, since it uses less digits than its factorization.

813750840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15411 (or 15394 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 813750840 is about 28526.3183744415. The cubic root of 813750840 is about 933.6063923274.

The spelling of 813750840 in words is "eight hundred thirteen million, seven hundred fifty thousand, eight hundred forty".