812919240 has 320 divisors, whose sum is σ = 3171864960. Its totient is φ = 182891520.

The previous prime is 812919227. The next prime is 812919251. The reversal of 812919240 is 42919218.

It is a super-3 number, since 3×812919240³ (a number of 28 digits) contains 333 as substring.

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 = 812919195 and 812919204.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1655395 + ... + 1655885.

It is an arithmetic number, because the mean of its divisors is an integer number (9912078).

Almost surely, 2^812919240 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 812919240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585932480).

812919240 is an abundant number, since it is smaller than the sum of its proper divisors (2358945720).

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

812919240 is a wasteful number, since it uses less digits than its factorization.

812919240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 812919240 is about 28511.7386351657. The cubic root of 812919240 is about 933.2882557594.

The spelling of 812919240 in words is "eight hundred twelve million, nine hundred nineteen thousand, two hundred forty".