711448920 has 640 divisors, whose sum is σ = 3122380800. Its totient is φ = 141087744.

The previous prime is 711448879. The next prime is 711448921. The reversal of 711448920 is 29844117.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711448921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5601897 + ... + 5602023.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^711448920 is an apocalyptic number.

711448920 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 711448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561190400).

711448920 is an abundant number, since it is smaller than the sum of its proper divisors (2410931880).

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

711448920 is a wasteful number, since it uses less digits than its factorization.

711448920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 711448920 is about 26672.9998312901. Note that the first 3 decimals coincide. The cubic root of 711448920 is about 892.7185821523.

The spelling of 711448920 in words is "seven hundred eleven million, four hundred forty-eight thousand, nine hundred twenty".