797145408 has 224 divisors, whose sum is σ = 2528133120. Its totient is φ = 245583360.

The previous prime is 797145407. The next prime is 797145451. The reversal of 797145408 is 804541797.

It is a happy number.

797145408 is a `hidden beast` number, since 7 + 97 + 14 + 540 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797145407) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1231741 + ... + 1232387.

Almost surely, 2^797145408 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 797145408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264066560).

797145408 is an abundant number, since it is smaller than the sum of its proper divisors (1730987712).

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

797145408 is a wasteful number, since it uses less digits than its factorization.

797145408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 797145408 is about 28233.7636173430. The cubic root of 797145408 is about 927.2122972887.

The spelling of 797145408 in words is "seven hundred ninety-seven million, one hundred forty-five thousand, four hundred eight".