813307968 has 168 divisors, whose sum is σ = 2654174016. Its totient is φ = 235699200.

The previous prime is 813307967. The next prime is 813307981. The reversal of 813307968 is 869703318.

It is a happy number.

It is a super-2 number, since 2×813307968² = 1322939701624578048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (813307967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142938 + ... + 148518.

Almost surely, 2^813307968 is an apocalyptic number.

813307968 is a gapful number since it is divisible by the number (88) 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 813307968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327087008).

813307968 is an abundant number, since it is smaller than the sum of its proper divisors (1840866048).

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

813307968 is a wasteful number, since it uses less digits than its factorization.

813307968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5633 (or 5620 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 813307968 is about 28518.5548020933. The cubic root of 813307968 is about 933.4369943821.

It can be divided in two parts, 81330 and 7968, that added together give a palindrome (89298).

The spelling of 813307968 in words is "eight hundred thirteen million, three hundred seven thousand, nine hundred sixty-eight".