833873040 has 720 divisors, whose sum is σ = 3823148160. Its totient is φ = 158146560.

The previous prime is 833873039. The next prime is 833873041. The reversal of 833873040 is 40378338.

It is an interprime number because it is at equal distance from previous prime (833873039) and next prime (833873041).

It is a tau number, because it is divible by the number of its divisors (720).

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 = 833872986 and 833873004.

It is not an unprimeable number, because it can be changed into a prime (833873041) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9369316 + ... + 9369404.

It is an arithmetic number, because the mean of its divisors is an integer number (5309928).

Almost surely, 2^833873040 is an apocalyptic number.

833873040 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 833873040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911574080).

833873040 is an abundant number, since it is smaller than the sum of its proper divisors (2989275120).

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

833873040 is a wasteful number, since it uses less digits than its factorization.

833873040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 833873040 is about 28876.8599400974. The cubic root of 833873040 is about 941.2391384069.

The spelling of 833873040 in words is "eight hundred thirty-three million, eight hundred seventy-three thousand, forty".