797769000 has 576 divisors, whose sum is σ = 3301421760. Its totient is φ = 179625600.

The previous prime is 797768989. The next prime is 797769001. The reversal of 797769000 is 967797.

It is a super-2 number, since 2×797769000² = 1272870754722000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (797769001) 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 143 ways as a sum of consecutive naturals, for example, 11906967 + ... + 11907033.

It is an arithmetic number, because the mean of its divisors is an integer number (5731635).

Almost surely, 2^797769000 is an apocalyptic number.

797769000 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 797769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650710880).

797769000 is an abundant number, since it is smaller than the sum of its proper divisors (2503652760).

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

797769000 is a wasteful number, since it uses less digits than its factorization.

797769000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 797769000 is about 28244.8048320395. The cubic root of 797769000 is about 927.4540145707.

The spelling of 797769000 in words is "seven hundred ninety-seven million, seven hundred sixty-nine thousand".