36780840 has 96 divisors (see below), whose sum is σ = 121305600. Its totient is φ = 9663360.

The previous prime is 36780823. The next prime is 36780847. The reversal of 36780840 is 4808763.

It is a super-2 number, since 2×36780840² = 2705660382211200, which contains 22 as substring.

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 = 36780795 and 36780804.

It is not an unprimeable number, because it can be changed into a prime (36780847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24841 + ... + 26279.

It is an arithmetic number, because the mean of its divisors is an integer number (1263600).

Almost surely, 2^36780840 is an apocalyptic number.

36780840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36780840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60652800).

36780840 is an abundant number, since it is smaller than the sum of its proper divisors (84524760).

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

36780840 is a wasteful number, since it uses less digits than its factorization.

36780840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 36780840 is about 6064.7209333983. The cubic root of 36780840 is about 332.5629631833.

The spelling of 36780840 in words is "thirty-six million, seven hundred eighty thousand, eight hundred forty".