9765625040 has 40 divisors (see below), whose sum is σ = 22777676808. Its totient is φ = 3893760000.

The previous prime is 9765625033. The next prime is 9765625043. The reversal of 9765625040 is 405265679.

It can be written as a sum of positive squares in 4 ways, for example, as 976187536 + 8789437504 = 31244^2 + 93752^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 9765624982 and 9765625000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9765625043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169961 + ... + 220040.

Almost surely, 2^9765625040 is an apocalyptic number.

It is an amenable number.

9765625040 is an abundant number, since it is smaller than the sum of its proper divisors (13012051768).

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

9765625040 is a wasteful number, since it uses less digits than its factorization.

9765625040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390327 (or 390321 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The square root of 9765625040 is about 98821.1770826476. The cubic root of 9765625040 is about 2137.4699362642.

It can be divided in two parts, 97656250 and 40, that multiplied together give a 4-th power (3906250000 = 250⁴).

The spelling of 9765625040 in words is "nine billion, seven hundred sixty-five million, six hundred twenty-five thousand, forty".