802059552 has 144 divisors (see below), whose sum is σ = 2627456832. Its totient is φ = 227335680.

The previous prime is 802059551. The next prime is 802059563. The reversal of 802059552 is 255950208.

802059552 is a `hidden beast` number, since 80 + 20 + 5 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (802059551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262578 + ... + 265614.

It is an arithmetic number, because the mean of its divisors is an integer number (18246228).

Almost surely, 2^802059552 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 802059552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313728416).

802059552 is an abundant number, since it is smaller than the sum of its proper divisors (1825397280).

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

802059552 is a wasteful number, since it uses less digits than its factorization.

802059552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3191 (or 3180 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 802059552 is about 28320.6559246074. The cubic root of 802059552 is about 929.1137168680.

The spelling of 802059552 in words is "eight hundred two million, fifty-nine thousand, five hundred fifty-two".