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770073480 = 2334511173141
BaseRepresentation
bin101101111001100…
…110001110001000
31222200000210020000
4231321212032020
53034114322410
6204225203000
725040342121
oct5571461610
91880023200
10770073480
11365760670
12195a90460
13c37054a7
14743b9048
1547914dc0
hex2de66388

770073480 has 640 divisors, whose sum is σ = 3161410560. Its totient is φ = 165888000.

The previous prime is 770073461. The next prime is 770073509. The reversal of 770073480 is 84370077.

It is a happy number.

770073480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18782260 + ... + 18782300.

It is an arithmetic number, because the mean of its divisors is an integer number (4939704).

Almost surely, 2770073480 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 770073480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580705280).

770073480 is an abundant number, since it is smaller than the sum of its proper divisors (2391337080).

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

770073480 is a wasteful number, since it uses less digits than its factorization.

770073480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 770073480 is about 27750.1978371326. The cubic root of 770073480 is about 916.5948000224.

The spelling of 770073480 in words is "seven hundred seventy million, seventy-three thousand, four hundred eighty".