36796800 has 96 divisors (see below), whose sum is σ = 121231080. Its totient is φ = 9809920.

The previous prime is 36796769. The next prime is 36796807. The reversal of 36796800 is 869763.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36796807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7684 + ... + 11516.

Almost surely, 2^36796800 is an apocalyptic number.

36796800 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 36796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60615540).

36796800 is an abundant number, since it is smaller than the sum of its proper divisors (84434280).

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

36796800 is a wasteful number, since it uses less digits than its factorization.

36796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3860 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 36796800 is about 6066.0365973179. The cubic root of 36796800 is about 332.6110583090.

The spelling of 36796800 in words is "thirty-six million, seven hundred ninety-six thousand, eight hundred".