712649700 has 432 divisors, whose sum is σ = 2729825280. Its totient is φ = 152064000.

The previous prime is 712649677. The next prime is 712649723. The reversal of 712649700 is 7946217.

It is a happy number.

712649700 is a `hidden beast` number, since 7 + 1 + 2 + 649 + 7 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (712649677) and next prime (712649723).

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 143 ways as a sum of consecutive naturals, for example, 8007256 + ... + 8007344.

It is an arithmetic number, because the mean of its divisors is an integer number (6319040).

Almost surely, 2^712649700 is an apocalyptic number.

712649700 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 712649700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364912640).

712649700 is an abundant number, since it is smaller than the sum of its proper divisors (2017175580).

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

712649700 is a wasteful number, since it uses less digits than its factorization.

712649700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 712649700 is about 26695.4996207226. The cubic root of 712649700 is about 893.2205418721.

The spelling of 712649700 in words is "seven hundred twelve million, six hundred forty-nine thousand, seven hundred".