76909792 has 48 divisors (see below), whose sum is σ = 160030080. Its totient is φ = 36310912.

The previous prime is 76909787. The next prime is 76909793. The reversal of 76909792 is 29790967.

It is a super-2 number, since 2×76909792² = 11830232210966528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76909793) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 60459 + ... + 61717.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2^76909792 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 76909792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80015040).

76909792 is an abundant number, since it is smaller than the sum of its proper divisors (83120288).

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

76909792 is a wasteful number, since it uses less digits than its factorization.

76909792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 428652, while the sum is 49.

The square root of 76909792 is about 8769.8228032270. The cubic root of 76909792 is about 425.2658857574.

The spelling of 76909792 in words is "seventy-six million, nine hundred nine thousand, seven hundred ninety-two".