807825408 has 156 divisors (see below), whose sum is σ = 2338366680. Its totient is φ = 247922688.

The previous prime is 807825401. The next prime is 807825439. The reversal of 807825408 is 804528708.

It is a tau number, because it is divible by the number of its divisors (156).

It is a self number, because there is not a number n which added to its sum of digits gives 807825408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807825401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2076478 + ... + 2076866.

It is an arithmetic number, because the mean of its divisors is an integer number (14989530).

Almost surely, 2^807825408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807825408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169183340).

807825408 is an abundant number, since it is smaller than the sum of its proper divisors (1530541272).

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

807825408 is a wasteful number, since it uses less digits than its factorization.

807825408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 807825408 is about 28422.2695786244. The cubic root of 807825408 is about 931.3348111999.

The spelling of 807825408 in words is "eight hundred seven million, eight hundred twenty-five thousand, four hundred eight".