36798480 has 60 divisors (see below), whose sum is σ = 123583980. Its totient is φ = 9812736.

The previous prime is 36798479. The next prime is 36798491. The reversal of 36798480 is 8489763.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 26378496 + 10419984 = 5136^2 + 3228^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24835 + ... + 26274.

It is an arithmetic number, because the mean of its divisors is an integer number (2059733).

Almost surely, 2^36798480 is an apocalyptic number.

36798480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36798480 is an abundant number, since it is smaller than the sum of its proper divisors (86785500).

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

36798480 is a wasteful number, since it uses less digits than its factorization.

36798480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51128 (or 51119 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 36798480 is about 6066.1750716576. The cubic root of 36798480 is about 332.6161201447.

The spelling of 36798480 in words is "thirty-six million, seven hundred ninety-eight thousand, four hundred eighty".