76505464 has 48 divisors (see below), whose sum is σ = 167648400. Its totient is φ = 32730432.

The previous prime is 76505449. The next prime is 76505479. The reversal of 76505464 is 46450567.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76505449) and next prime (76505479).

It is a congruent number.

It is an unprimeable number.

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, 134172 + ... + 134740.

It is an arithmetic number, because the mean of its divisors is an integer number (3492675).

Almost surely, 2^76505464 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 76505464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83824200).

76505464 is an abundant number, since it is smaller than the sum of its proper divisors (91142936).

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

76505464 is an frugal number, since it uses more digits than its factorization.

76505464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The square root of 76505464 is about 8746.7401927804. The cubic root of 76505464 is about 424.5193440325.

The spelling of 76505464 in words is "seventy-six million, five hundred five thousand, four hundred sixty-four".