719047680 has 264 divisors, whose sum is σ = 2499337872. Its totient is φ = 176357376.

The previous prime is 719047649. The next prime is 719047727. The reversal of 719047680 is 86740917.

It is a super-2 number, since 2×719047680² = 1034059132226764800, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2595702 + ... + 2595978.

Almost surely, 2^719047680 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 719047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249668936).

719047680 is an abundant number, since it is smaller than the sum of its proper divisors (1780290192).

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

719047680 is a wasteful number, since it uses less digits than its factorization.

719047680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 719047680 is about 26815.0644228202. The cubic root of 719047680 is about 895.8856146496.

The spelling of 719047680 in words is "seven hundred nineteen million, forty-seven thousand, six hundred eighty".