719998560 has 216 divisors, whose sum is σ = 2556380736. Its totient is φ = 184343040.

The previous prime is 719998511. The next prime is 719998567. The reversal of 719998560 is 65899917.

719998560 is a `hidden beast` number, since 71 + 9 + 9 + 9 + 8 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 719998497 and 719998506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (719998567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5669217 + ... + 5669343.

It is an arithmetic number, because the mean of its divisors is an integer number (11835096).

Almost surely, 2^719998560 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 719998560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278190368).

719998560 is an abundant number, since it is smaller than the sum of its proper divisors (1836382176).

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

719998560 is a wasteful number, since it uses less digits than its factorization.

719998560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 719998560 is about 26832.7888971683. The cubic root of 719998560 is about 896.2803517904.

The spelling of 719998560 in words is "seven hundred nineteen million, nine hundred ninety-eight thousand, five hundred sixty".