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797916672 = 2932729853
BaseRepresentation
bin101111100011110…
…011111000000000
32001121102100220100
4233203303320000
53113231313142
6211102042400
725526115450
oct5743637000
92047370810
10797916672
1137a448673
121a3279400
13c9403857
1477d85d60
154a0b4b4c
hex2f8f3e00

797916672 has 240 divisors, whose sum is σ = 2725763040. Its totient is φ = 219856896.

The previous prime is 797916653. The next prime is 797916727. The reversal of 797916672 is 276619797.

It is a happy number.

797916672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 934998 + ... + 935850.

It is an arithmetic number, because the mean of its divisors is an integer number (11357346).

Almost surely, 2797916672 is an apocalyptic number.

797916672 is a gapful number since it is divisible by the number (72) 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 797916672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362881520).

797916672 is an abundant number, since it is smaller than the sum of its proper divisors (1927846368).

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

797916672 is a wasteful number, since it uses less digits than its factorization.

797916672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 894 counting only the distinct ones).

The product of its digits is 2000376, while the sum is 54.

The square root of 797916672 is about 28247.4188555344. The cubic root of 797916672 is about 927.5112368742.

The spelling of 797916672 in words is "seven hundred ninety-seven million, nine hundred sixteen thousand, six hundred seventy-two".