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773460480 = 29351361127
BaseRepresentation
bin101110000110100…
…001001000000000
31222220101212022110
4232012201020000
53041001213410
6204425535320
725111206552
oct5606411000
91886355273
10773460480
11367664341
12197044540
13c4320030
1474a1b4d2
1547d83720
hex2e1a1200

773460480 has 320 divisors, whose sum is σ = 2727825408. Its totient is φ = 185794560.

The previous prime is 773460451. The next prime is 773460487. The reversal of 773460480 is 84064377.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×7734604802 = 1196482228243660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (773460487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6090177 + ... + 6090303.

Almost surely, 2773460480 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 773460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363912704).

773460480 is an abundant number, since it is smaller than the sum of its proper divisors (1954364928).

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

773460480 is a wasteful number, since it uses less digits than its factorization.

773460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 773460480 is about 27811.1574732157. The cubic root of 773460480 is about 917.9366486724.

The spelling of 773460480 in words is "seven hundred seventy-three million, four hundred sixty thousand, four hundred eighty".