36777960 has 48 divisors (see below), whose sum is σ = 119529540. Its totient is φ = 9807360.

The previous prime is 36777959. The next prime is 36777967. The reversal of 36777960 is 6977763.

36777960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34363044 + 2414916 = 5862^2 + 1554^2 .

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

It is not an unprimeable number, because it can be changed into a prime (36777967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50721 + ... + 51440.

Almost surely, 2^36777960 is an apocalyptic number.

36777960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36777960 is an abundant number, since it is smaller than the sum of its proper divisors (82751580).

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

36777960 is a wasteful number, since it uses less digits than its factorization.

36777960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102178 (or 102171 counting only the distinct ones).

The product of its (nonzero) digits is 333396, while the sum is 45.

The square root of 36777960 is about 6064.4834899602. The cubic root of 36777960 is about 332.5542828819.

The spelling of 36777960 in words is "thirty-six million, seven hundred seventy-seven thousand, nine hundred sixty".