1204082880 has 672 divisors, whose sum is σ = 5253776640. Its totient is φ = 229662720.

The previous prime is 1204082879. The next prime is 1204082881. The reversal of 1204082880 is 882804021.

It is an interprime number because it is at equal distance from previous prime (1204082879) and next prime (1204082881).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1204082881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6726631 + ... + 6726809.

It is an arithmetic number, because the mean of its divisors is an integer number (7818120).

Almost surely, 2^1204082880 is an apocalyptic number.

1204082880 is a gapful number since it is divisible by the number (10) 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 1204082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626888320).

1204082880 is an abundant number, since it is smaller than the sum of its proper divisors (4049693760).

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

1204082880 is a wasteful number, since it uses less digits than its factorization.

1204082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 1204082880 is about 34699.8974061884. The cubic root of 1204082880 is about 1063.8624014122.

The spelling of 1204082880 in words is "one billion, two hundred four million, eighty-two thousand, eight hundred eighty".