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780334663680 = 21136511131743
BaseRepresentation
bin10110101101011111001…
…00100000100000000000
32202121011212100011000000
423112233210200200000
5100241111133214210
61354251504000000
7110243264125665
oct13265744404000
92677155304000
10780334663680
11280a35635530
12107298600000
135877ba184b0
1429aa86b7a6c
1515471b30ac0
hexb5af920800

780334663680 has 2688 divisors, whose sum is σ = 3573220210560. Its totient is φ = 160526499840.

The previous prime is 780334663651. The next prime is 780334663687. The reversal of 780334663680 is 86366433087.

780334663680 is a `hidden beast` number, since 78 + 0 + 3 + 3 + 466 + 36 + 80 = 666.

It is a super-2 number, since 2×7803346636802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (780334663687) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 18147317739 + ... + 18147317781.

It is an arithmetic number, because the mean of its divisors is an integer number (1329322995).

Almost surely, 2780334663680 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 780334663680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786610105280).

780334663680 is an abundant number, since it is smaller than the sum of its proper divisors (2792885546880).

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

780334663680 is a wasteful number, since it uses less digits than its factorization.

780334663680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 780334663680 in words is "seven hundred eighty billion, three hundred thirty-four million, six hundred sixty-three thousand, six hundred eighty".