802676160 has 336 divisors, whose sum is σ = 3245205600. Its totient is φ = 179527680.

The previous prime is 802676153. The next prime is 802676167. The reversal of 802676160 is 61676208.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (802676153) and next prime (802676167).

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 (802676167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410866 + ... + 412814.

It is an arithmetic number, because the mean of its divisors is an integer number (9658350).

Almost surely, 2^802676160 is an apocalyptic number.

802676160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 802676160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622602800).

802676160 is an abundant number, since it is smaller than the sum of its proper divisors (2442529440).

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

802676160 is a wasteful number, since it uses less digits than its factorization.

802676160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1996 (or 1983 counting only the distinct ones).

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

The square root of 802676160 is about 28331.5400216790. The cubic root of 802676160 is about 929.3517508148.

The spelling of 802676160 in words is "eight hundred two million, six hundred seventy-six thousand, one hundred sixty".