797735680 has 288 divisors, whose sum is σ = 2354688000. Its totient is φ = 258306048.

The previous prime is 797735671. The next prime is 797735713. The reversal of 797735680 is 86537797.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10097881 + ... + 10097959.

It is an arithmetic number, because the mean of its divisors is an integer number (8176000).

Almost surely, 2^797735680 is an apocalyptic number.

797735680 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 797735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1177344000).

797735680 is an abundant number, since it is smaller than the sum of its proper divisors (1556952320).

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

797735680 is an equidigital number, since it uses as much as digits as its factorization.

797735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 52.

The square root of 797735680 is about 28244.2149828952. The cubic root of 797735680 is about 927.4411022289.

The spelling of 797735680 in words is "seven hundred ninety-seven million, seven hundred thirty-five thousand, six hundred eighty".