798537600 has 576 divisors, whose sum is σ = 3462769440. Its totient is φ = 171048960.

The previous prime is 798537599. The next prime is 798537611. The reversal of 798537600 is 6735897.

It is a happy number.

798537600 is a `hidden beast` number, since 7 + 9 + 8 + 5 + 37 + 600 = 666.

798537600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×798537600² = 1275324597227520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3427084 + ... + 3427316.

Almost surely, 2^798537600 is an apocalyptic number.

798537600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731384720).

798537600 is an abundant number, since it is smaller than the sum of its proper divisors (2664231840).

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

798537600 is a wasteful number, since it uses less digits than its factorization.

798537600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 798537600 is about 28258.4075984476. The cubic root of 798537600 is about 927.7517667405.

The spelling of 798537600 in words is "seven hundred ninety-eight million, five hundred thirty-seven thousand, six hundred".