719883840 has 224 divisors, whose sum is σ = 2529596160. Its totient is φ = 172302336.

The previous prime is 719883833. The next prime is 719883841. The reversal of 719883840 is 48388917.

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

It is a self number, because there is not a number n which added to its sum of digits gives 719883840.

It is not an unprimeable number, because it can be changed into a prime (719883841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460981 + ... + 462539.

It is an arithmetic number, because the mean of its divisors is an integer number (11292840).

Almost surely, 2^719883840 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 719883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264798080).

719883840 is an abundant number, since it is smaller than the sum of its proper divisors (1809712320).

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

719883840 is a wasteful number, since it uses less digits than its factorization.

719883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1629 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The square root of 719883840 is about 26830.6511288862. The cubic root of 719883840 is about 896.2327467214.

The spelling of 719883840 in words is "seven hundred nineteen million, eight hundred eighty-three thousand, eight hundred forty".