712782540 has 144 divisors (see below), whose sum is σ = 2253756960. Its totient is φ = 182184960.

The previous prime is 712782529. The next prime is 712782571. The reversal of 712782540 is 45287217.

712782540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 712782495 and 712782504.

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, 434602 + ... + 436238.

It is an arithmetic number, because the mean of its divisors is an integer number (15651090).

Almost surely, 2^712782540 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 712782540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126878480).

712782540 is an abundant number, since it is smaller than the sum of its proper divisors (1540974420).

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

712782540 is a wasteful number, since it uses less digits than its factorization.

712782540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 712782540 is about 26697.9875646087. The cubic root of 712782540 is about 893.2760380694.

The spelling of 712782540 in words is "seven hundred twelve million, seven hundred eighty-two thousand, five hundred forty".