706756050 has 384 divisors, whose sum is σ = 2619832320. Its totient is φ = 135302400.

The previous prime is 706756049. The next prime is 706756069. The reversal of 706756050 is 50657607.

It is a super-2 number, since 2×706756050² = 999008228423205000, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 706755996 and 706756014.

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 191 ways as a sum of consecutive naturals, for example, 1351089 + ... + 1351611.

It is an arithmetic number, because the mean of its divisors is an integer number (6822480).

Almost surely, 2^706756050 is an apocalyptic number.

706756050 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 706756050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309916160).

706756050 is an abundant number, since it is smaller than the sum of its proper divisors (1913076270).

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

706756050 is a wasteful number, since it uses less digits than its factorization.

706756050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 706756050 is about 26584.8838628270. The cubic root of 706756050 is about 890.7513959117.

The spelling of 706756050 in words is "seven hundred six million, seven hundred fifty-six thousand, fifty".