831406080 has 240 divisors, whose sum is σ = 2831068800. Its totient is φ = 207618048.

The previous prime is 831406067. The next prime is 831406091. The reversal of 831406080 is 80604138.

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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4177821 + ... + 4178019.

It is an arithmetic number, because the mean of its divisors is an integer number (11796120).

Almost surely, 2^831406080 is an apocalyptic number.

831406080 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 831406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415534400).

831406080 is an abundant number, since it is smaller than the sum of its proper divisors (1999662720).

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

831406080 is a wasteful number, since it uses less digits than its factorization.

831406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 831406080 is about 28834.1131301103. The cubic root of 831406080 is about 940.3100229848.

The spelling of 831406080 in words is "eight hundred thirty-one million, four hundred six thousand, eighty".