802290672 has 60 divisors (see below), whose sum is σ = 2267571384. Its totient is φ = 264777600.

The previous prime is 802290667. The next prime is 802290679. The reversal of 802290672 is 276092208.

It is a super-3 number, since 3×802290672³ (a number of 28 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802290679) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13038 + ... + 42125.

Almost surely, 2^802290672 is an apocalyptic number.

It is an amenable number.

802290672 is an abundant number, since it is smaller than the sum of its proper divisors (1465280712).

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

802290672 is a wasteful number, since it uses less digits than its factorization.

802290672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55278 (or 55269 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 802290672 is about 28324.7360446660. The cubic root of 802290672 is about 929.2029521951.

The spelling of 802290672 in words is "eight hundred two million, two hundred ninety thousand, six hundred seventy-two".