772543872 has 128 divisors (see below), whose sum is σ = 2379456000. Its totient is φ = 246292992.

The previous prime is 772543867. The next prime is 772543873. The reversal of 772543872 is 278345277.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772543873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74629 + ... + 84347.

It is an arithmetic number, because the mean of its divisors is an integer number (18589500).

Almost surely, 2^772543872 is an apocalyptic number.

772543872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772543872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189728000).

772543872 is an abundant number, since it is smaller than the sum of its proper divisors (1606912128).

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

772543872 is a wasteful number, since it uses less digits than its factorization.

772543872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9747 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 772543872 is about 27794.6734465437. The cubic root of 772543872 is about 917.5738976827.

It can be divided in two parts, 772 and 543872, that added together give a square (544644 = 738²).

The spelling of 772543872 in words is "seven hundred seventy-two million, five hundred forty-three thousand, eight hundred seventy-two".