802869760 has 160 divisors (see below), whose sum is σ = 2400596352. Its totient is φ = 250183680.

The previous prime is 802869737. The next prime is 802869779. The reversal of 802869760 is 67968208.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 802869760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195084 + ... + 199156.

Almost surely, 2^802869760 is an apocalyptic number.

802869760 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 802869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200298176).

802869760 is an abundant number, since it is smaller than the sum of its proper divisors (1597726592).

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

802869760 is a wasteful number, since it uses less digits than its factorization.

802869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4114 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 802869760 is about 28334.9565025253. The cubic root of 802869760 is about 929.4264625705.

The spelling of 802869760 in words is "eight hundred two million, eight hundred sixty-nine thousand, seven hundred sixty".