720760040 has 256 divisors, whose sum is σ = 2229534720. Its totient is φ = 202429440.

The previous prime is 720759983. The next prime is 720760043. The reversal of 720760040 is 40067027.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 720759991 and 720760009.

It is not an unprimeable number, because it can be changed into a prime (720760043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1881689 + ... + 1882071.

It is an arithmetic number, because the mean of its divisors is an integer number (8709120).

Almost surely, 2^720760040 is an apocalyptic number.

720760040 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 720760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114767360).

720760040 is an abundant number, since it is smaller than the sum of its proper divisors (1508774680).

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

720760040 is a wasteful number, since it uses less digits than its factorization.

720760040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 26.

The square root of 720760040 is about 26846.9745036568. The cubic root of 720760040 is about 896.5962131150.

The spelling of 720760040 in words is "seven hundred twenty million, seven hundred sixty thousand, forty".