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780730030080 = 211335721113231
BaseRepresentation
bin10110101110001110010…
…00101101100000000000
32202122012102021211202000
423113013020231200000
5100242413341430310
61354355030024000
7110256134521500
oct13270710554000
92678172254660
10780730030080
11281118826120
12107388aa8000
13588128c6a00
1429b04dd3a00
15154966cb4c0
hexb5c722d800

780730030080 has 3456 divisors, whose sum is σ = 3936609331200. Its totient is φ = 144919756800.

The previous prime is 780730030043. The next prime is 780730030121. The reversal of 780730030080 is 80030037087.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25184839665 + ... + 25184839695.

It is an arithmetic number, because the mean of its divisors is an integer number (1139065200).

Almost surely, 2780730030080 is an apocalyptic number.

780730030080 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 780730030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1968304665600).

780730030080 is an abundant number, since it is smaller than the sum of its proper divisors (3155879301120).

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

780730030080 is a wasteful number, since it uses less digits than its factorization.

780730030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 780730030080 in words is "seven hundred eighty billion, seven hundred thirty million, thirty thousand, eighty".