Search a number
-
+
797871360 = 283511131453
BaseRepresentation
bin101111100011101…
…000110100000000
32001121100001202010
4233203220310000
53113223340420
6211101052520
725525536366
oct5743506400
92047301663
10797871360
1137a417620
121a3257140
13c93b9040
1477d73636
154a0a64e0
hex2f8e8d00

797871360 has 288 divisors, whose sum is σ = 2995751808. Its totient is φ = 178421760.

The previous prime is 797871343. The next prime is 797871379. The reversal of 797871360 is 63178797.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 548394 + ... + 549846.

It is an arithmetic number, because the mean of its divisors is an integer number (10401916).

Almost surely, 2797871360 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 797871360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497875904).

797871360 is an abundant number, since it is smaller than the sum of its proper divisors (2197880448).

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

797871360 is a wasteful number, since it uses less digits than its factorization.

797871360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1501 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 48.

The square root of 797871360 is about 28246.6167885643. The cubic root of 797871360 is about 927.4936794081.

The spelling of 797871360 in words is "seven hundred ninety-seven million, eight hundred seventy-one thousand, three hundred sixty".