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77628960 = 25325313747
BaseRepresentation
bin1001010000010…
…00011000100000
312102001221220200
410220020120200
5124333111320
611411505200
71631556333
oct450103040
9172057820
1077628960
113a901872
1221bb8200
13131100c6
14a44a61a
156c36290
hex4a08620

77628960 has 288 divisors, whose sum is σ = 286820352. Its totient is φ = 19077120.

The previous prime is 77628959. The next prime is 77628977. The reversal of 77628960 is 6982677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1651657 + ... + 1651703.

It is an arithmetic number, because the mean of its divisors is an integer number (995904).

Almost surely, 277628960 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 77628960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143410176).

77628960 is an abundant number, since it is smaller than the sum of its proper divisors (209191392).

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

77628960 is a wasteful number, since it uses less digits than its factorization.

77628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 77628960 is about 8810.7298222111. The cubic root of 77628960 is about 426.5873007760.

The spelling of 77628960 in words is "seventy-seven million, six hundred twenty-eight thousand, nine hundred sixty".