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76799834640 = 243351929173373
BaseRepresentation
bin100011110000110100…
…0000111101000010000
321100020022102211102000
41013201220013220100
52224241224202030
655140434554000
75356112552304
oct1074150075020
9240208384360
1076799834640
112a630560521
1212a74138900
13731c138c49
143a07b49d04
151ee758b860
hex11e1a07a10

76799834640 has 640 divisors, whose sum is σ = 290499264000. Its totient is φ = 18574811136.

The previous prime is 76799834623. The next prime is 76799834641. The reversal of 76799834640 is 4643899767.

76799834640 is a `hidden beast` number, since 7 + 6 + 7 + 99 + 83 + 464 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (76799834641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205897494 + ... + 205897866.

It is an arithmetic number, because the mean of its divisors is an integer number (453905100).

Almost surely, 276799834640 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 76799834640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145249632000).

76799834640 is an abundant number, since it is smaller than the sum of its proper divisors (213699429360).

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

76799834640 is a wasteful number, since it uses less digits than its factorization.

76799834640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 76799834640 in words is "seventy-six billion, seven hundred ninety-nine million, eight hundred thirty-four thousand, six hundred forty".