812159040 has 224 divisors, whose sum is σ = 3215176704. Its totient is φ = 168744960.

The previous prime is 812159039. The next prime is 812159041. The reversal of 812159040 is 40951218.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (812159039) and next prime (812159041).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 812158989 and 812159007.

It is not an unprimeable number, because it can be changed into a prime (812159041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68427 + ... + 79413.

Almost surely, 2^812159040 is an apocalyptic number.

812159040 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 812159040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607588352).

812159040 is an abundant number, since it is smaller than the sum of its proper divisors (2403017664).

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

812159040 is a wasteful number, since it uses less digits than its factorization.

812159040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025 (or 11015 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 812159040 is about 28498.4041658476. The cubic root of 812159040 is about 932.9972440696.

It can be divided in two parts, 8121 and 59040, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 812159040 in words is "eight hundred twelve million, one hundred fifty-nine thousand, forty".