803077242880 has 480 divisors, whose sum is σ = 2208233664000. Its totient is φ = 277673410560.

The previous prime is 803077242829. The next prime is 803077242881. The reversal of 803077242880 is 88242770308.

It is not an unprimeable number, because it can be changed into a prime (803077242881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2064465726 + ... + 2064466114.

It is an arithmetic number, because the mean of its divisors is an integer number (4600486800).

Almost surely, 2^803077242880 is an apocalyptic number.

803077242880 is a gapful number since it is divisible by the number (80) 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 803077242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104116832000).

803077242880 is an abundant number, since it is smaller than the sum of its proper divisors (1405156421120).

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

803077242880 is a wasteful number, since it uses less digits than its factorization.

803077242880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 49.

The spelling of 803077242880 in words is "eight hundred three billion, seventy-seven million, two hundred forty-two thousand, eight hundred eighty".