36790080 has 112 divisors (see below), whose sum is σ = 123017280. Its totient is φ = 9289728.

The previous prime is 36790043. The next prime is 36790081. The reversal of 36790080 is 8009763.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36790081) 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 15 ways as a sum of consecutive naturals, for example, 17232 + ... + 19248.

Almost surely, 2^36790080 is an apocalyptic number.

36790080 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 36790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61508640).

36790080 is an abundant number, since it is smaller than the sum of its proper divisors (86227200).

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

36790080 is a wasteful number, since it uses less digits than its factorization.

36790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 36790080 is about 6065.4826683455. The cubic root of 36790080 is about 332.5908094251.

The spelling of 36790080 in words is "thirty-six million, seven hundred ninety thousand, eighty".