719407920 has 240 divisors, whose sum is σ = 2802320640. Its totient is φ = 149445120.

The previous prime is 719407903. The next prime is 719407933. The reversal of 719407920 is 29704917.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×719407920⁴ (a number of 37 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 201511 + ... + 205049.

It is an arithmetic number, because the mean of its divisors is an integer number (11676336).

Almost surely, 2^719407920 is an apocalyptic number.

719407920 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 719407920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401160320).

719407920 is an abundant number, since it is smaller than the sum of its proper divisors (2082912720).

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

719407920 is a wasteful number, since it uses less digits than its factorization.

719407920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3584 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 719407920 is about 26821.7807015120. The cubic root of 719407920 is about 896.0352013700.

The spelling of 719407920 in words is "seven hundred nineteen million, four hundred seven thousand, nine hundred twenty".