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80377440 = 253511131171
BaseRepresentation
bin1001100101001…
…11011001100000
312121020121010020
410302213121200
5131034034230
611550433440
71664124363
oct462473140
9177217106
1080377440
1141409840
1222b02880
1313863120
14a9640da
1570ca810
hex4ca7660

80377440 has 192 divisors, whose sum is σ = 297706752. Its totient is φ = 17971200.

The previous prime is 80377417. The next prime is 80377459. The reversal of 80377440 is 4477308.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68055 + ... + 69225.

It is an arithmetic number, because the mean of its divisors is an integer number (1550556).

Almost surely, 280377440 is an apocalyptic number.

80377440 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 80377440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148853376).

80377440 is an abundant number, since it is smaller than the sum of its proper divisors (217329312).

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

80377440 is a wasteful number, since it uses less digits than its factorization.

80377440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 80377440 is about 8965.3466190661. The cubic root of 80377440 is about 431.5635166112.

The spelling of 80377440 in words is "eighty million, three hundred seventy-seven thousand, four hundred forty".