8212829760 has 140 divisors (see below), whose sum is σ = 29214572508. Its totient is φ = 2190081024.

The previous prime is 8212829753. The next prime is 8212829771. The reversal of 8212829760 is 679282128.

It can be written as a sum of positive squares in 2 ways, for example, as 1092170304 + 7120659456 = 33048^2 + 84384^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 132507 + ... + 184346.

Almost surely, 2^8212829760 is an apocalyptic number.

8212829760 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8212829760 is an abundant number, since it is smaller than the sum of its proper divisors (21001742748).

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

8212829760 is a wasteful number, since it uses less digits than its factorization.

8212829760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316882 (or 316863 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 8212829760 is about 90624.6641924813. The cubic root of 8212829760 is about 2017.5808179231.

The spelling of 8212829760 in words is "eight billion, two hundred twelve million, eight hundred twenty-nine thousand, seven hundred sixty".