720457920 has 336 divisors, whose sum is σ = 3051048000. Its totient is φ = 151953408.

The previous prime is 720457883. The next prime is 720457931. The reversal of 720457920 is 29754027.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×720457920² = 1038119228981452800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 260706 + ... + 263454.

It is an arithmetic number, because the mean of its divisors is an integer number (9080500).

Almost surely, 2^720457920 is an apocalyptic number.

720457920 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 720457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525524000).

720457920 is an abundant number, since it is smaller than the sum of its proper divisors (2330590080).

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

720457920 is a wasteful number, since it uses less digits than its factorization.

720457920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 720457920 is about 26841.3472091101. The cubic root of 720457920 is about 896.4709206045.

The spelling of 720457920 in words is "seven hundred twenty million, four hundred fifty-seven thousand, nine hundred twenty".