76147764 has 144 divisors (see below), whose sum is σ = 230360256. Its totient is φ = 19353600.

The previous prime is 76147741. The next prime is 76147781. The reversal of 76147764 is 46774167.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394452 + ... + 394644.

It is an arithmetic number, because the mean of its divisors is an integer number (1599724).

Almost surely, 2^76147764 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 76147764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115180128).

76147764 is an abundant number, since it is smaller than the sum of its proper divisors (154212492).

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

76147764 is a wasteful number, since it uses less digits than its factorization.

76147764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its digits is 197568, while the sum is 42.

The square root of 76147764 is about 8726.2686183729. The cubic root of 76147764 is about 423.8566992299.

It can be divided in two parts, 7 and 6147764, that added together give a triangular number (6147771 = T₃₅₀₆).

The spelling of 76147764 in words is "seventy-six million, one hundred forty-seven thousand, seven hundred sixty-four".