1772746816 has 63 divisors (see below), whose sum is σ = 3726137709. Its totient is φ = 836690688.

The previous prime is 1772746783. The next prime is 1772746823. The reversal of 1772746816 is 6186472771.

The square root of 1772746816 is 42104.

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

It can be written as a sum of positive squares in only one way, i.e., 305550400 + 1467196416 = 17480^2 + 38304^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1772746816.

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, 6399670 + ... + 6399946.

It is an arithmetic number, because the mean of its divisors is an integer number (59145043).

Almost surely, 2^1772746816 is an apocalyptic number.

1772746816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1772746816 is the 42104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1772746816

1772746816 is an abundant number, since it is smaller than the sum of its proper divisors (1953390893).

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

1772746816 is an frugal number, since it uses more digits than its factorization.

1772746816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 298 counting only the distinct ones).

The product of its digits is 790272, while the sum is 49.

The cubic root of 1772746816 is about 1210.2699158797.

Multiplying 1772746816 by its sum of digits (49), we get a square (86864593984 = 294728²).

The spelling of 1772746816 in words is "one billion, seven hundred seventy-two million, seven hundred forty-six thousand, eight hundred sixteen".