Search a number
-
+
77777000770 = 2572158728573
BaseRepresentation
bin100100001101111011…
…1101101100101000010
321102202102011000100011
41020123313231211002
52233241403011040
655421423015134
75422246412200
oct1103367554502
9242672130304
1077777000770
112aa920a8937
12130a743a4aa
13744670cb61
143a9b832070
15205325c3ea
hex121bded942

77777000770 has 24 divisors (see below), whose sum is σ = 162855516924. Its totient is φ = 26666400096.

The previous prime is 77777000761. The next prime is 77777000773. The reversal of 77777000770 is 7700077777.

It can be written as a sum of positive squares in 2 ways, for example, as 67077374049 + 10699626721 = 258993^2 + 103439^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (77777000773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79363797 + ... + 79364776.

Almost surely, 277777000770 is an apocalyptic number.

77777000770 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

77777000770 is an abundant number, since it is smaller than the sum of its proper divisors (85078516154).

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

77777000770 is a wasteful number, since it uses less digits than its factorization.

77777000770 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158728594 (or 158728587 counting only the distinct ones).

The product of its (nonzero) digits is 823543, while the sum is 49.

The spelling of 77777000770 in words is "seventy-seven billion, seven hundred seventy-seven million, seven hundred seventy", and thus it is an aban number.

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 158728573 317457146 793642865 1111100011 1587285730 2222200022 5555500055 7777700077 11111000110 15555400154 38888500385 77777000770