76918240 has 72 divisors (see below), whose sum is σ = 211409352. Its totient is φ = 26369280.

The previous prime is 76918207. The next prime is 76918249. The reversal of 76918240 is 4281967.

It is a self number, because there is not a number n which added to its sum of digits gives 76918240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76918249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2935 + ... + 12745.

It is an arithmetic number, because the mean of its divisors is an integer number (2936241).

Almost surely, 2^76918240 is an apocalyptic number.

76918240 is a gapful number since it is divisible by the number (70) 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 76918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105704676).

76918240 is an abundant number, since it is smaller than the sum of its proper divisors (134491112).

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

76918240 is a wasteful number, since it uses less digits than its factorization.

76918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9840 (or 9825 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 76918240 is about 8770.3044416941. The cubic root of 76918240 is about 425.2814560100.

It can be divided in two parts, 7691 and 8240, that added together give a triangular number (15931 = T₁₇₈).

The spelling of 76918240 in words is "seventy-six million, nine hundred eighteen thousand, two hundred forty".