719772480 has 280 divisors, whose sum is σ = 2926860288. Its totient is φ = 164477952.

The previous prime is 719772461. The next prime is 719772527. The reversal of 719772480 is 84277917.

It is a happy number.

719772480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179457 + ... + 183423.

Almost surely, 2^719772480 is an apocalyptic number.

719772480 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 719772480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463430144).

719772480 is an abundant number, since it is smaller than the sum of its proper divisors (2207087808).

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

719772480 is a wasteful number, since it uses less digits than its factorization.

719772480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4003 (or 3984 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 45.

The square root of 719772480 is about 26828.5758101320. The cubic root of 719772480 is about 896.1865311054.

The spelling of 719772480 in words is "seven hundred nineteen million, seven hundred seventy-two thousand, four hundred eighty".