76690672 has 80 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 34384896.

The previous prime is 76690651. The next prime is 76690687. The reversal of 76690672 is 27609667.

It is a happy number.

It is a super-3 number, since 3×76690672³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 923943 + ... + 924025.

It is an arithmetic number, because the mean of its divisors is an integer number (2062368).

Almost surely, 2^76690672 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 76690672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

76690672 is an abundant number, since it is smaller than the sum of its proper divisors (88298768).

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

76690672 is a wasteful number, since it uses less digits than its factorization.

76690672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 43.

The square root of 76690672 is about 8757.3210515545. The cubic root of 76690672 is about 424.8616333885.

The spelling of 76690672 in words is "seventy-six million, six hundred ninety thousand, six hundred seventy-two".