712793088 has 352 divisors, whose sum is σ = 2515353600. Its totient is φ = 195084288.

The previous prime is 712793087. The next prime is 712793089. The reversal of 712793088 is 880397217.

712793088 is a `hidden beast` number, since 71 + 279 + 308 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (712793087) and next prime (712793089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (712793087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5612481 + ... + 5612607.

Almost surely, 2^712793088 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 712793088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257676800).

712793088 is an abundant number, since it is smaller than the sum of its proper divisors (1802560512).

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

712793088 is a wasteful number, since it uses less digits than its factorization.

712793088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 712793088 is about 26698.1851068570. The cubic root of 712793088 is about 893.2804443825.

The spelling of 712793088 in words is "seven hundred twelve million, seven hundred ninety-three thousand, eighty-eight".