772765672 has 48 divisors (see below), whose sum is σ = 1710711360. Its totient is φ = 326231136.

The previous prime is 772765667. The next prime is 772765673. The reversal of 772765672 is 276567277.

It is a happy number.

It is a super-3 number, since 3×772765672³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (772765673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11553 + ... + 40975.

It is an arithmetic number, because the mean of its divisors is an integer number (35639820).

Almost surely, 2^772765672 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 772765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855355680).

772765672 is an abundant number, since it is smaller than the sum of its proper divisors (937945688).

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

772765672 is a wasteful number, since it uses less digits than its factorization.

772765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29510 (or 29499 counting only the distinct ones).

The product of its digits is 1728720, while the sum is 49.

The square root of 772765672 is about 27798.6631333235. The cubic root of 772765672 is about 917.6617021532.

The spelling of 772765672 in words is "seven hundred seventy-two million, seven hundred sixty-five thousand, six hundred seventy-two".