798948864 has 480 divisors, whose sum is σ = 2941526016. Its totient is φ = 203489280.

The previous prime is 798948863. The next prime is 798948889. The reversal of 798948864 is 468849897.

798948864 is a `hidden beast` number, since 7 + 98 + 9 + 488 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (27869184) is a multiple of the sum of its prime factors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (798948863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16998889 + ... + 16998935.

Almost surely, 2^798948864 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 798948864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470763008).

798948864 is an abundant number, since it is smaller than the sum of its proper divisors (2142577152).

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

798948864 is a wasteful number, since it uses less digits than its factorization.

798948864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 107 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 798948864 is about 28265.6835049146. The cubic root of 798948864 is about 927.9110100953.

The spelling of 798948864 in words is "seven hundred ninety-eight million, nine hundred forty-eight thousand, eight hundred sixty-four".