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797631120 = 24325111361127
BaseRepresentation
bin101111100010101…
…110001010010000
32001120212212012100
4233202232022100
53113143143440
6211052000400
725523516106
oct5742561220
92046785170
10797631120
1137a273080
121a3160100
13c93338a0
1477d0dc76
154a05a230
hex2f8ae290

797631120 has 480 divisors, whose sum is σ = 3223793664. Its totient is φ = 174182400.

The previous prime is 797631103. The next prime is 797631127. The reversal of 797631120 is 21136797.

It is a happy number.

797631120 is a `hidden beast` number, since 7 + 9 + 7 + 631 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (797631127) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6280497 + ... + 6280623.

Almost surely, 2797631120 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 797631120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611896832).

797631120 is an abundant number, since it is smaller than the sum of its proper divisors (2426162544).

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

797631120 is a wasteful number, since it uses less digits than its factorization.

797631120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 797631120 is about 28242.3639237228. The cubic root of 797631120 is about 927.4005802527.

The spelling of 797631120 in words is "seven hundred ninety-seven million, six hundred thirty-one thousand, one hundred twenty".