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797345640 = 2333572131961
BaseRepresentation
bin101111100001101…
…000011101101000
32001120100100121000
4233201220131220
53113110030030
6211041515000
725521216600
oct5741503550
92046310530
10797345640
1137a098643
121a3042a60
13c9263970
1477c77c00
154a000860
hex2f868768

797345640 has 768 divisors, whose sum is σ = 3562272000. Its totient is φ = 156764160.

The previous prime is 797345609. The next prime is 797345641. The reversal of 797345640 is 46543797.

797345640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (797345641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13071210 + ... + 13071270.

It is an arithmetic number, because the mean of its divisors is an integer number (4638375).

Almost surely, 2797345640 is an apocalyptic number.

797345640 is a gapful number since it is divisible by the number (70) 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 797345640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781136000).

797345640 is an abundant number, since it is smaller than the sum of its proper divisors (2764926360).

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

797345640 is a wasteful number, since it uses less digits than its factorization.

797345640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 797345640 is about 28237.3093619063. The cubic root of 797345640 is about 927.2899251293.

The spelling of 797345640 in words is "seven hundred ninety-seven million, three hundred forty-five thousand, six hundred forty".