761856001 has 2 divisors, whose sum is σ = 761856002. Its totient is φ = 761856000.

The previous prime is 761855999. The next prime is 761856047. The reversal of 761856001 is 100658167.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 715616001 + 46240000 = 26751^2 + 6800^2 .

It is a cyclic number.

It is not a de Polignac number, because 761856001 - 2¹ = 761855999 is a prime.

Together with 761855999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (761857001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 380928000 + 380928001.

It is an arithmetic number, because the mean of its divisors is an integer number (380928001).

It is a Proth number, since it is equal to 11625 ⋅ 2¹⁶ + 1 and 11625 < 2¹⁶.

Almost surely, 2^761856001 is an apocalyptic number.

It is an amenable number.

761856001 is a deficient number, since it is larger than the sum of its proper divisors (1).

761856001 is an equidigital number, since it uses as much as digits as its factorization.

761856001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 761856001 is about 27601.7390937600. The cubic root of 761856001 is about 913.3227961412.

The spelling of 761856001 in words is "seven hundred sixty-one million, eight hundred fifty-six thousand, one".