802612224 has 132 divisors (see below), whose sum is σ = 2351241516. Its totient is φ = 263651328.

The previous prime is 802612189. The next prime is 802612247. The reversal of 802612224 is 422216208.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 433972224 + 368640000 = 20832^2 + 19200^2 .

It is a super-2 number, since 2×802612224² = 1288372764228452352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 672172 + ... + 673364.

Almost surely, 2^802612224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802612224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1175620758).

802612224 is an abundant number, since it is smaller than the sum of its proper divisors (1548629292).

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

802612224 is a wasteful number, since it uses less digits than its factorization.

802612224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 802612224 is about 28330.4116454385. The cubic root of 802612224 is about 929.3270747730.

The spelling of 802612224 in words is "eight hundred two million, six hundred twelve thousand, two hundred twenty-four".