36779040 has 72 divisors (see below), whose sum is σ = 125513388. Its totient is φ = 9807360.

The previous prime is 36779033. The next prime is 36779053. The reversal of 36779040 is 4097763.

It can be written as a sum of positive squares in 2 ways, for example, as 36433296 + 345744 = 6036^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36778986 and 36779004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11331 + ... + 14210.

Almost surely, 2^36779040 is an apocalyptic number.

36779040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36779040 is an abundant number, since it is smaller than the sum of its proper divisors (88734348).

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

36779040 is a wasteful number, since it uses less digits than its factorization.

36779040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25562 (or 25551 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 36779040 is about 6064.5725323389. The cubic root of 36779040 is about 332.5575380480.

The spelling of 36779040 in words is "thirty-six million, seven hundred seventy-nine thousand, forty".