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8078797440 = 27355741181
BaseRepresentation
bin1111000011000100…
…01010101010000000
3202212000200102200000
413201202022222000
5113021133004230
63413352400000
7404125434210
oct74142125200
922760612600
108078797440
1134762a80aa
1216956a6000
139b997201c
14568d3a240
153243b2b60
hex1e188aa80

8078797440 has 768 divisors, whose sum is σ = 34056771840. Its totient is φ = 1791590400.

The previous prime is 8078797381. The next prime is 8078797451. The reversal of 8078797440 is 447978708.

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

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, 44634150 + ... + 44634330.

It is an arithmetic number, because the mean of its divisors is an integer number (44344755).

Almost surely, 28078797440 is an apocalyptic number.

8078797440 is a gapful number since it is divisible by the number (80) 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 8078797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028385920).

8078797440 is an abundant number, since it is smaller than the sum of its proper divisors (25977974400).

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

8078797440 is a wasteful number, since it uses less digits than its factorization.

8078797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The square root of 8078797440 is about 89882.1308158635. The cubic root of 8078797440 is about 2006.5450113822.

The spelling of 8078797440 in words is "eight billion, seventy-eight million, seven hundred ninety-seven thousand, four hundred forty".