90409000767 has 32 divisors (see below), whose sum is σ = 124457748480. Its totient is φ = 58345958400.

The previous prime is 90409000763. The next prime is 90409000777. The reversal of 90409000767 is 76700090409.

It is not a de Polignac number, because 90409000767 - 2² = 90409000763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90409000763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13488517 + ... + 13495217.

It is an arithmetic number, because the mean of its divisors is an integer number (3889304640).

Almost surely, 2^90409000767 is an apocalyptic number.

90409000767 is a deficient number, since it is larger than the sum of its proper divisors (34048747713).

90409000767 is a wasteful number, since it uses less digits than its factorization.

90409000767 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7783.

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 90409000767 in words is "ninety billion, four hundred nine million, seven hundred sixty-seven", and thus it is an aban number.