802506400 has 36 divisors (see below), whose sum is σ = 1959120702. Its totient is φ = 321002240.

The previous prime is 802506391. The next prime is 802506421. The reversal of 802506400 is 4605208.

802506400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 713317264 + 89189136 = 26708^2 + 9444^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500767 + ... + 502366.

Almost surely, 2^802506400 is an apocalyptic number.

802506400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

802506400 is an abundant number, since it is smaller than the sum of its proper divisors (1156614302).

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

802506400 is a wasteful number, since it uses less digits than its factorization.

802506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003153 (or 1003140 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 802506400 is about 28328.5439089269. The cubic root of 802506400 is about 929.2862292157.

The spelling of 802506400 in words is "eight hundred two million, five hundred six thousand, four hundred".