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780068520 = 23325711107263
BaseRepresentation
bin101110011111101…
…110011010101000
32000100211120211200
4232133232122220
53044144143040
6205223324200
725221321150
oct5637563250
92010746750
10780068520
11370368030
121992b0660
13c57c4a0a
147585b760
154873b630
hex2e7ee6a8

780068520 has 384 divisors, whose sum is σ = 3202467840. Its totient is φ = 159966720.

The previous prime is 780068507. The next prime is 780068533. The reversal of 780068520 is 25860087.

780068520 is a `hidden beast` number, since 78 + 0 + 0 + 68 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (780068507) and next prime (780068533).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2965909 + ... + 2966171.

It is an arithmetic number, because the mean of its divisors is an integer number (8339760).

Almost surely, 2780068520 is an apocalyptic number.

780068520 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 780068520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601233920).

780068520 is an abundant number, since it is smaller than the sum of its proper divisors (2422399320).

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

780068520 is a wasteful number, since it uses less digits than its factorization.

780068520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 780068520 is about 27929.7067653780. The cubic root of 780068520 is about 920.5433620710.

The spelling of 780068520 in words is "seven hundred eighty million, sixty-eight thousand, five hundred twenty".