765628901 has 16 divisors (see below), whose sum is σ = 799254000. Its totient is φ = 732791808.

The previous prime is 765628879. The next prime is 765628907. The reversal of 765628901 is 109826567.

765628901 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 27670²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 276676 + 765352225 = 526^2 + 27665^2 .

It is not a de Polignac number, because 765628901 - 2¹⁴ = 765612517 is a prime.

It is a super-2 number, since 2×765628901² = 1172375228092935602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (765628907) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 622355 + ... + 623583.

It is an arithmetic number, because the mean of its divisors is an integer number (49953375).

Almost surely, 2^765628901 is an apocalyptic number.

It is an amenable number.

765628901 is a deficient number, since it is larger than the sum of its proper divisors (33625099).

765628901 is a wasteful number, since it uses less digits than its factorization.

765628901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1528.

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 765628901 is about 27670.0000180701. Note that the first 4 decimals coincide. The cubic root of 765628901 is about 914.8279812393.

The spelling of 765628901 in words is "seven hundred sixty-five million, six hundred twenty-eight thousand, nine hundred one".