36778640 has 40 divisors (see below), whose sum is σ = 87603768. Its totient is φ = 14351360.

The previous prime is 36778619. The next prime is 36778649. The reversal of 36778640 is 4687763.

It can be written as a sum of positive squares in 4 ways, for example, as 2298256 + 34480384 = 1516^2 + 5872^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36778649) 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, 2327 + ... + 8886.

Almost surely, 2^36778640 is an apocalyptic number.

It is an amenable number.

36778640 is an abundant number, since it is smaller than the sum of its proper divisors (50825128).

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

36778640 is a wasteful number, since it uses less digits than its factorization.

36778640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11267 (or 11261 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The square root of 36778640 is about 6064.5395538326. The cubic root of 36778640 is about 332.5563324383.

The spelling of 36778640 in words is "thirty-six million, seven hundred seventy-eight thousand, six hundred forty".