802496000 has 80 divisors (see below), whose sum is σ = 2001233520. Its totient is φ = 320972800.

The previous prime is 802495973. The next prime is 802496011. The reversal of 802496000 is 694208.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57731 + ... + 70269.

It is an arithmetic number, because the mean of its divisors is an integer number (25015419).

Almost surely, 2^802496000 is an apocalyptic number.

802496000 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 802496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000616760).

802496000 is an abundant number, since it is smaller than the sum of its proper divisors (1198737520).

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

802496000 is an equidigital number, since it uses as much as digits as its factorization.

802496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 802496000 is about 28328.3603478917. The cubic root of 802496000 is about 929.2822148682.

The spelling of 802496000 in words is "eight hundred two million, four hundred ninety-six thousand".