798806937600 has 1755 divisors, whose sum is σ = 3522735667113. Its totient is φ = 172974735360.

The previous prime is 798806937571. The next prime is 798806937629. The reversal of 798806937600 is 6739608897.

It is a happy number.

The square root of 798806937600 is 893760.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (798806937571) and next prime (798806937629).

It can be written as a sum of positive squares in only one way, i.e., 287570497536 + 511236440064 = 536256^2 + 715008^2 .

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

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 42042470391 + ... + 42042470409.

Almost surely, 2^798806937600 is an apocalyptic number.

798806937600 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

798806937600 is the 893760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 798806937600

798806937600 is an abundant number, since it is smaller than the sum of its proper divisors (2723928729513).

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

798806937600 is an equidigital number, since it uses as much as digits as its factorization.

798806937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 798806937600 in words is "seven hundred ninety-eight billion, eight hundred six million, nine hundred thirty-seven thousand, six hundred".