772777348 has 96 divisors (see below), whose sum is σ = 1693440000. Its totient is φ = 301190400.

The previous prime is 772777321. The next prime is 772777349. The reversal of 772777348 is 843777277.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 772777295 and 772777304.

It is not an unprimeable number, because it can be changed into a prime (772777349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1548403 + ... + 1548901.

It is an arithmetic number, because the mean of its divisors is an integer number (17640000).

Almost surely, 2^772777348 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 772777348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720000).

772777348 is an abundant number, since it is smaller than the sum of its proper divisors (920662652).

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

772777348 is a wasteful number, since it uses less digits than its factorization.

772777348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 639 counting only the distinct ones).

The product of its digits is 3226944, while the sum is 52.

The square root of 772777348 is about 27798.8731426294. The cubic root of 772777348 is about 917.6663238923. Note that the first 3 decimals are identical.

The spelling of 772777348 in words is "seven hundred seventy-two million, seven hundred seventy-seven thousand, three hundred forty-eight".