36480080 has 80 divisors (see below), whose sum is σ = 104409984. Its totient is φ = 11543040.

The previous prime is 36480061. The next prime is 36480107. The reversal of 36480080 is 8008463.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4775 + ... + 9785.

Almost surely, 2^36480080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36480080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52204992).

36480080 is an abundant number, since it is smaller than the sum of its proper divisors (67929904).

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

36480080 is a wasteful number, since it uses less digits than its factorization.

36480080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5044 (or 5038 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 36480080 is about 6039.8741708748. The cubic root of 36480080 is about 331.6540161108.

The spelling of 36480080 in words is "thirty-six million, four hundred eighty thousand, eighty".