7729005312 has 288 divisors, whose sum is σ = 26969026560. Its totient is φ = 2136637440.

The previous prime is 7729005311. The next prime is 7729005439. The reversal of 7729005312 is 2135009277.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×7729005312² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7729005311) 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, 1497328 + ... + 1502480.

Almost surely, 2^7729005312 is an apocalyptic number.

7729005312 is a gapful number since it is divisible by the number (72) 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 7729005312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484513280).

7729005312 is an abundant number, since it is smaller than the sum of its proper divisors (19240021248).

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

7729005312 is a wasteful number, since it uses less digits than its factorization.

7729005312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5196 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 7729005312 is about 87914.7616273854. The cubic root of 7729005312 is about 1977.1572059820.

The spelling of 7729005312 in words is "seven billion, seven hundred twenty-nine million, five thousand, three hundred twelve".