90777375 has 64 divisors (see below), whose sum is σ = 180835200. Its totient is φ = 44668800.

The previous prime is 90777373. The next prime is 90777377. The reversal of 90777375 is 57377709.

It is an interprime number because it is at equal distance from previous prime (90777373) and next prime (90777377).

It is not a de Polignac number, because 90777375 - 2¹ = 90777373 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 90777375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90777371) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42841 + ... + 44909.

It is an arithmetic number, because the mean of its divisors is an integer number (2825550).

Almost surely, 2^90777375 is an apocalyptic number.

90777375 is a deficient number, since it is larger than the sum of its proper divisors (90057825).

90777375 is a wasteful number, since it uses less digits than its factorization.

90777375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2106 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 324135, while the sum is 45.

The square root of 90777375 is about 9527.7161481648. The cubic root of 90777375 is about 449.4270485911.

The spelling of 90777375 in words is "ninety million, seven hundred seventy-seven thousand, three hundred seventy-five".