706978272 has 288 divisors, whose sum is σ = 2538635904. Its totient is φ = 169344000.

The previous prime is 706978267. The next prime is 706978291. The reversal of 706978272 is 272879607.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672147 + ... + 673197.

It is an arithmetic number, because the mean of its divisors is an integer number (8814708).

Almost surely, 2^706978272 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 706978272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269317952).

706978272 is an abundant number, since it is smaller than the sum of its proper divisors (1831657632).

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

706978272 is a wasteful number, since it uses less digits than its factorization.

706978272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1087 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 48.

The square root of 706978272 is about 26589.0630147059. The cubic root of 706978272 is about 890.8447443941.

The spelling of 706978272 in words is "seven hundred six million, nine hundred seventy-eight thousand, two hundred seventy-two".