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769069080 = 233451319312
BaseRepresentation
bin101101110101110…
…001000000011000
31222121010202110000
4231311301000120
53033340202310
6204151453000
725025656623
oct5565610030
91877122400
10769069080
11365134a8a
12195687160
13c3443280
14741d6dba
15477b74c0
hex2dd71018

769069080 has 480 divisors, whose sum is σ = 3027855600. Its totient is φ = 173560320.

The previous prime is 769069079. The next prime is 769069097. The reversal of 769069080 is 80960967.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 24808665 + ... + 24808695.

Almost surely, 2769069080 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 769069080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513927800).

769069080 is an abundant number, since it is smaller than the sum of its proper divisors (2258786520).

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

769069080 is a wasteful number, since it uses less digits than its factorization.

769069080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 769069080 is about 27732.0947640094. The cubic root of 769069080 is about 916.1961244904.

The spelling of 769069080 in words is "seven hundred sixty-nine million, sixty-nine thousand, eighty".