797577600 has 192 divisors, whose sum is σ = 2645455680. Its totient is φ = 211200000.

The previous prime is 797577589. The next prime is 797577619. The reversal of 797577600 is 6775797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×797577600² = 1272260056043520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 797577600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2409435 + ... + 2409765.

It is an arithmetic number, because the mean of its divisors is an integer number (13778415).

Almost surely, 2^797577600 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 797577600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322727840).

797577600 is an abundant number, since it is smaller than the sum of its proper divisors (1847878080).

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

797577600 is a wasteful number, since it uses less digits than its factorization.

797577600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 648270, while the sum is 48.

The square root of 797577600 is about 28241.4163950748. The cubic root of 797577600 is about 927.3798373353.

The spelling of 797577600 in words is "seven hundred ninety-seven million, five hundred seventy-seven thousand, six hundred".