76910420 has 54 divisors (see below), whose sum is σ = 169186122. Its totient is φ = 29367936.

The previous prime is 76910401. The next prime is 76910429. The reversal of 76910420 is 2401967.

It can be written as a sum of positive squares in 9 ways, for example, as 3671056 + 73239364 = 1916^2 + 8558^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76910429) 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 17 ways as a sum of consecutive naturals, for example, 1451114 + ... + 1451166.

Almost surely, 2^76910420 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 76910420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84593061).

76910420 is an abundant number, since it is smaller than the sum of its proper divisors (92275702).

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

76910420 is a wasteful number, since it uses less digits than its factorization.

76910420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 76910420 is about 8769.8586077542. The cubic root of 76910420 is about 425.2670432444.

The spelling of 76910420 in words is "seventy-six million, nine hundred ten thousand, four hundred twenty".