816197760 has 384 divisors, whose sum is σ = 3330063360. Its totient is φ = 180264960.

The previous prime is 816197737. The next prime is 816197771. The reversal of 816197760 is 67791618.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1249594 + ... + 1250246.

It is an arithmetic number, because the mean of its divisors is an integer number (8672040).

Almost surely, 2^816197760 is an apocalyptic number.

816197760 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 816197760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1665031680).

816197760 is an abundant number, since it is smaller than the sum of its proper divisors (2513865600).

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

816197760 is a wasteful number, since it uses less digits than its factorization.

816197760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 816197760 is about 28569.1749968388. The cubic root of 816197760 is about 934.5412297474.

The spelling of 816197760 in words is "eight hundred sixteen million, one hundred ninety-seven thousand, seven hundred sixty".