711607680 has 640 divisors, whose sum is σ = 3039094080. Its totient is φ = 155271168.

The previous prime is 711607667. The next prime is 711607727. The reversal of 711607680 is 86706117.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13426534 + ... + 13426586.

Almost surely, 2^711607680 is an apocalyptic number.

711607680 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 711607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519547040).

711607680 is an abundant number, since it is smaller than the sum of its proper divisors (2327486400).

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

711607680 is a wasteful number, since it uses less digits than its factorization.

711607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 711607680 is about 26675.9757084910. The cubic root of 711607680 is about 892.7849806700.

The spelling of 711607680 in words is "seven hundred eleven million, six hundred seven thousand, six hundred eighty".