801877248 has 216 divisors, whose sum is σ = 2431869440. Its totient is φ = 253808640.

The previous prime is 801877247. The next prime is 801877253. The reversal of 801877248 is 842778108.

801877248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (801877243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7356618 + ... + 7356726.

Almost surely, 2^801877248 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 801877248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215934720).

801877248 is an abundant number, since it is smaller than the sum of its proper divisors (1629992192).

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

801877248 is a wasteful number, since it uses less digits than its factorization.

801877248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The square root of 801877248 is about 28317.4371721736. The cubic root of 801877248 is about 929.0433172817.

The spelling of 801877248 in words is "eight hundred one million, eight hundred seventy-seven thousand, two hundred forty-eight".