829827480 has 64 divisors (see below), whose sum is σ = 2491695360. Its totient is φ = 221090688.

The previous prime is 829827463. The next prime is 829827487. The reversal of 829827480 is 84728928.

It is a super-2 number, since 2×829827480² = 1377227293126300800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829827487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175629 + ... + 180291.

It is an arithmetic number, because the mean of its divisors is an integer number (38932740).

Almost surely, 2^829827480 is an apocalyptic number.

It is an amenable number.

829827480 is an abundant number, since it is smaller than the sum of its proper divisors (1661867880).

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

829827480 is a wasteful number, since it uses less digits than its factorization.

829827480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 829827480 is about 28806.7262978631. The cubic root of 829827480 is about 939.7145202191.

It can be divided in two parts, 8298 and 27480, that added together give a triangular number (35778 = T₂₆₇).

The spelling of 829827480 in words is "eight hundred twenty-nine million, eight hundred twenty-seven thousand, four hundred eighty".