7696512 has 128 divisors (see below), whose sum is σ = 24235200. Its totient is φ = 2396160.

The previous prime is 7696511. The next prime is 7696531. The reversal of 7696512 is 2156967.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×7696512² = 118472593932288, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7696511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58687 + ... + 58817.

Almost surely, 2^7696512 is an apocalyptic number.

7696512 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 7696512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12117600).

7696512 is an abundant number, since it is smaller than the sum of its proper divisors (16538688).

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

7696512 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 13 representation: 7696512 = (1796265)₁₃.

7696512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 7696512 is about 2774.2588199373. The cubic root of 7696512 is about 197.4382608923.

The spelling of 7696512 in words is "seven million, six hundred ninety-six thousand, five hundred twelve".