797055840 has 288 divisors, whose sum is σ = 3141815040. Its totient is φ = 180237312.

The previous prime is 797055827. The next prime is 797055859. The reversal of 797055840 is 48550797.

797055840 is a `hidden beast` number, since 7 + 97 + 0 + 558 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1078191 + ... + 1078929.

It is an arithmetic number, because the mean of its divisors is an integer number (10909080).

Almost surely, 2^797055840 is an apocalyptic number.

797055840 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 797055840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570907520).

797055840 is an abundant number, since it is smaller than the sum of its proper divisors (2344759200).

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

797055840 is a wasteful number, since it uses less digits than its factorization.

797055840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 797055840 is about 28232.1773868046. The cubic root of 797055840 is about 927.1775685090.

The spelling of 797055840 in words is "seven hundred ninety-seven million, fifty-five thousand, eight hundred forty".