833479920 has 240 divisors, whose sum is σ = 3445321152. Its totient is φ = 175841280.

The previous prime is 833479903. The next prime is 833479921. The reversal of 833479920 is 29974338.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833479921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59160 + ... + 71880.

Almost surely, 2^833479920 is an apocalyptic number.

833479920 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 833479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722660576).

833479920 is an abundant number, since it is smaller than the sum of its proper divisors (2611841232).

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

833479920 is a wasteful number, since it uses less digits than its factorization.

833479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12760 (or 12751 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 833479920 is about 28870.0523033818. The cubic root of 833479920 is about 941.0912029799.

The spelling of 833479920 in words is "eight hundred thirty-three million, four hundred seventy-nine thousand, nine hundred twenty".