7807000968 has 252 divisors, whose sum is σ = 24035283135. Its totient is φ = 2375163648.

The previous prime is 7807000931. The next prime is 7807000973. The reversal of 7807000968 is 8690007087.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 30935844 + 7776065124 = 5562^2 + 88182^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=62478.

It is a super-2 number, since 2×7807000968² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 87719068 + ... + 87719156.

Almost surely, 2^7807000968 is an apocalyptic number.

7807000968 is a gapful number since it is divisible by the number (78) 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 7807000968

7807000968 is an abundant number, since it is smaller than the sum of its proper divisors (16228282167).

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

7807000968 is an equidigital number, since it uses as much as digits as its factorization.

7807000968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 7807000968 is about 88357.2349499462. The cubic root of 7807000968 is about 1983.7856499967.

The spelling of 7807000968 in words is "seven billion, eight hundred seven million, nine hundred sixty-eight", and thus it is an aban number.