711276720 has 240 divisors, whose sum is σ = 2770656000. Its totient is φ = 147755520.

The previous prime is 711276703. The next prime is 711276721. The reversal of 711276720 is 27672117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (711276721) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 201531 + ... + 205029.

It is an arithmetic number, because the mean of its divisors is an integer number (11544400).

Almost surely, 2^711276720 is an apocalyptic number.

711276720 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 711276720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385328000).

711276720 is an abundant number, since it is smaller than the sum of its proper divisors (2059379280).

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

711276720 is a wasteful number, since it uses less digits than its factorization.

711276720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3544 (or 3527 counting only the distinct ones).

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 711276720 is about 26669.7716525658. The cubic root of 711276720 is about 892.6465514274.

The spelling of 711276720 in words is "seven hundred eleven million, two hundred seventy-six thousand, seven hundred twenty".