76772644 has 27 divisors (see below), whose sum is σ = 145914867. Its totient is φ = 35328384.

The previous prime is 76772639. The next prime is 76772659. The reversal of 76772644 is 44627767.

76772644 = T₂₇₇ + T₂₇₈ + ... + T₇₈₃.

The square root of 76772644 is 8762.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26646244 + 50126400 = 5162^2 + 7080^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 76772644.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 227644 + ... + 227980.

Almost surely, 2^76772644 is an apocalyptic number.

76772644 is the 8762-nd square number.

It is an amenable number.

76772644 is a deficient number, since it is larger than the sum of its proper divisors (69142223).

76772644 is a wasteful number, since it uses less digits than its factorization.

76772644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 352 counting only the distinct ones).

The product of its digits is 395136, while the sum is 43.

The cubic root of 76772644 is about 425.0129527771.

The spelling of 76772644 in words is "seventy-six million, seven hundred seventy-two thousand, six hundred forty-four".