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76798632960 = 2103257343113
BaseRepresentation
bin100011110000110001…
…1100010010000000000
321100020020011210000100
41013201203202100000
52224240422223320
655140353122400
75356066416000
oct1074143422000
9240206153010
1076798632960
112a62a90a6a5
1212a73859400
13731bb07caa
143a07916000
151ee7400790
hex11e18e2400

76798632960 has 1056 divisors, whose sum is σ = 320353862400. Its totient is φ = 16994009088.

The previous prime is 76798632943. The next prime is 76798632961. The reversal of 76798632960 is 6923689767.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76798632961) 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, 679633864 + ... + 679633976.

It is an arithmetic number, because the mean of its divisors is an integer number (303365400).

Almost surely, 276798632960 is an apocalyptic number.

76798632960 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 76798632960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160176931200).

76798632960 is an abundant number, since it is smaller than the sum of its proper divisors (243555229440).

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

76798632960 is a wasteful number, since it uses less digits than its factorization.

76798632960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 76798632960 in words is "seventy-six billion, seven hundred ninety-eight million, six hundred thirty-two thousand, nine hundred sixty".