7965384001 has 9 divisors (see below), whose sum is σ = 8233480353. Its totient is φ = 7705758660.

The previous prime is 7965383981. The next prime is 7965384061. The reversal of 7965384001 is 1004835697.

The square root of 7965384001 is 89249.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 7965384001 - 2⁷ = 7965383873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7965384061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2765280 + ... + 2768158.

Almost surely, 2^7965384001 is an apocalyptic number.

7965384001 is the 89249-th square number.

7965384001 is the 44625-th centered octagonal number.

It is an amenable number.

7965384001 is a deficient number, since it is larger than the sum of its proper divisors (268096352).

7965384001 is an frugal number, since it uses more digits than its factorization.

7965384001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 7965384001 is about 1997.1111627353. Note that the first 4 decimals are identical.

The spelling of 7965384001 in words is "seven billion, nine hundred sixty-five million, three hundred eighty-four thousand, one".