364878880 has 48 divisors (see below), whose sum is σ = 872968320. Its totient is φ = 144099072.

The previous prime is 364878853. The next prime is 364878883. The reversal of 364878880 is 88878463.

It is not an unprimeable number, because it can be changed into a prime (364878883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1794 + ... + 27073.

It is an arithmetic number, because the mean of its divisors is an integer number (18186840).

Almost surely, 2^364878880 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 364878880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436484160).

364878880 is an abundant number, since it is smaller than the sum of its proper divisors (508089440).

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

364878880 is a wasteful number, since it uses less digits than its factorization.

364878880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28961 (or 28953 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 52.

The square root of 364878880 is about 19101.8030562562. The cubic root of 364878880 is about 714.5778915929.

It can be divided in two parts, 3648 and 78880, that added together give a palindrome (82528).

The spelling of 364878880 in words is "three hundred sixty-four million, eight hundred seventy-eight thousand, eight hundred eighty".