829525780 has 24 divisors (see below), whose sum is σ = 1745369640. Its totient is φ = 331169280.

The previous prime is 829525777. The next prime is 829525783. The reversal of 829525780 is 87525928.

It is an interprime number because it is at equal distance from previous prime (829525777) and next prime (829525783).

It can be written as a sum of positive squares in 4 ways, for example, as 89794576 + 739731204 = 9476^2 + 27198^2 .

It is a super-2 number, since 2×829525780² = 1376226039369216800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 829525780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829525783) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29385 + ... + 50224.

It is an arithmetic number, because the mean of its divisors is an integer number (72723735).

Almost surely, 2^829525780 is an apocalyptic number.

It is an amenable number.

829525780 is an abundant number, since it is smaller than the sum of its proper divisors (915843860).

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

829525780 is a wasteful number, since it uses less digits than its factorization.

829525780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80139 (or 80137 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The square root of 829525780 is about 28801.4891976092. The cubic root of 829525780 is about 939.6006225544.

The spelling of 829525780 in words is "eight hundred twenty-nine million, five hundred twenty-five thousand, seven hundred eighty".