712829376 has 224 divisors, whose sum is σ = 2473512960. Its totient is φ = 196992000.

The previous prime is 712829303. The next prime is 712829387. The reversal of 712829376 is 673928217.

712829376 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 (224).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374026 + ... + 375926.

Almost surely, 2^712829376 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 712829376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236756480).

712829376 is an abundant number, since it is smaller than the sum of its proper divisors (1760683584).

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

712829376 is a wasteful number, since it uses less digits than its factorization.

712829376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1944 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 712829376 is about 26698.8646949641. The cubic root of 712829376 is about 893.2956029707.

The spelling of 712829376 in words is "seven hundred twelve million, eight hundred twenty-nine thousand, three hundred seventy-six".