800072765117520 has 320 divisors, whose sum is σ = 2523168704010240. Its totient is φ = 209698678425600.

The previous prime is 800072765117519. The next prime is 800072765117551. The reversal of 800072765117520 is 25711567270008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1534860291 + ... + 1535381469.

It is an arithmetic number, because the mean of its divisors is an integer number (7884902200032).

Almost surely, 2^{800072765117520} is an apocalyptic number.

800072765117520 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 800072765117520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261584352005120).

800072765117520 is an abundant number, since it is smaller than the sum of its proper divisors (1723095938892720).

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

800072765117520 is a wasteful number, since it uses less digits than its factorization.

800072765117520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521794 (or 521788 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 800072765117520 in words is "eight hundred trillion, seventy-two billion, seven hundred sixty-five million, one hundred seventeen thousand, five hundred twenty".