76264416 has 60 divisors (see below), whose sum is σ = 224299152. Its totient is φ = 25420608.

The previous prime is 76264411. The next prime is 76264421. The reversal of 76264416 is 61446267.

76264416 is a `hidden beast` number, since 7 + 6 + 2 + 644 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (76264411) and next prime (76264421).

It is a super-2 number, since 2×76264416² = 11632522295642112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76264411) 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 9 ways as a sum of consecutive naturals, for example, 12120 + ... + 17303.

Almost surely, 2^76264416 is an apocalyptic number.

It is an amenable number.

76264416 is an abundant number, since it is smaller than the sum of its proper divisors (148034736).

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

76264416 is a wasteful number, since it uses less digits than its factorization.

76264416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29445 (or 29428 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 76264416 is about 8732.9500170332. The cubic root of 76264416 is about 424.0730264629.

The spelling of 76264416 in words is "seventy-six million, two hundred sixty-four thousand, four hundred sixteen".