817825040 has 20 divisors (see below), whose sum is σ = 1901443404. Its totient is φ = 327129984.

The previous prime is 817825039. The next prime is 817825079. The reversal of 817825040 is 40528718.

It can be written as a sum of positive squares in 2 ways, for example, as 513113104 + 304711936 = 22652^2 + 17456^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5111327 + ... + 5111486.

Almost surely, 2^817825040 is an apocalyptic number.

817825040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

817825040 is an abundant number, since it is smaller than the sum of its proper divisors (1083618364).

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

817825040 is a wasteful number, since it uses less digits than its factorization.

817825040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222826 (or 10222820 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 35.

The square root of 817825040 is about 28597.6404621081. The cubic root of 817825040 is about 935.1618925254.

The spelling of 817825040 in words is "eight hundred seventeen million, eight hundred twenty-five thousand, forty".