7730667072 has 42 divisors (see below), whose sum is σ = 22158562998. Its totient is φ = 2576888832.

The previous prime is 7730667053. The next prime is 7730667073. The reversal of 7730667072 is 2707660377.

It can be written as a sum of positive squares in only one way, i.e., 7283598336 + 447068736 = 85344^2 + 21144^2 .

It is not an unprimeable number, because it can be changed into a prime (7730667073) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6710073 + ... + 6711224.

Almost surely, 2^7730667072 is an apocalyptic number.

7730667072 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7730667072 is an abundant number, since it is smaller than the sum of its proper divisors (14427895926).

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

7730667072 is a wasteful number, since it uses less digits than its factorization.

7730667072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13421315 (or 13421302 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The square root of 7730667072 is about 87924.2120920057. The cubic root of 7730667072 is about 1977.2988941288.

The spelling of 7730667072 in words is "seven billion, seven hundred thirty million, six hundred sixty-seven thousand, seventy-two".