76600420 has 48 divisors (see below), whose sum is σ = 175009968. Its totient is φ = 27993600.

The previous prime is 76600393. The next prime is 76600427. The reversal of 76600420 is 2400667.

76600420 is nontrivially palindromic in base 3.

It can be written as a sum of positive squares in 8 ways, for example, as 11669056 + 64931364 = 3416^2 + 8058^2 .

It is not an unprimeable number, because it can be changed into a prime (76600427) 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, 24802 + ... + 27718.

It is an arithmetic number, because the mean of its divisors is an integer number (3646041).

Almost surely, 2^76600420 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 76600420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87504984).

76600420 is an abundant number, since it is smaller than the sum of its proper divisors (98409548).

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

76600420 is a wasteful number, since it uses less digits than its factorization.

76600420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3040 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 76600420 is about 8752.1665889081. The cubic root of 76600420 is about 424.6949044470.

The spelling of 76600420 in words is "seventy-six million, six hundred thousand, four hundred twenty".