802949760 has 224 divisors, whose sum is σ = 2879683380. Its totient is φ = 213995520.

The previous prime is 802949743. The next prime is 802949773. The reversal of 802949760 is 67949208.

It is a happy number.

802949760 is a `hidden beast` number, since 80 + 29 + 497 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 800663616 + 2286144 = 28296^2 + 1512^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 465700 + ... + 467420.

Almost surely, 2^802949760 is an apocalyptic number.

802949760 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 802949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439841690).

802949760 is an abundant number, since it is smaller than the sum of its proper divisors (2076733620).

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

802949760 is an equidigital number, since it uses as much as digits as its factorization.

802949760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 802949760 is about 28336.3681511940. The cubic root of 802949760 is about 929.4573316899.

The spelling of 802949760 in words is "eight hundred two million, nine hundred forty-nine thousand, seven hundred sixty".