802726400 has 360 divisors, whose sum is σ = 2492388096. Its totient is φ = 250675200.

The previous prime is 802726367. The next prime is 802726403. The reversal of 802726400 is 4627208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802726403) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25894385 + ... + 25894415.

Almost surely, 2^802726400 is an apocalyptic number.

802726400 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 802726400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246194048).

802726400 is an abundant number, since it is smaller than the sum of its proper divisors (1689661696).

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

802726400 is a wasteful number, since it uses less digits than its factorization.

802726400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 802726400 is about 28332.4266521595. The cubic root of 802726400 is about 929.3711399782.

The spelling of 802726400 in words is "eight hundred two million, seven hundred twenty-six thousand, four hundred".