772049400 has 192 divisors, whose sum is σ = 2493590400. Its totient is φ = 197429760.

The previous prime is 772049381. The next prime is 772049449. The reversal of 772049400 is 4940277.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1842391 + ... + 1842809.

It is an arithmetic number, because the mean of its divisors is an integer number (12987450).

Almost surely, 2^772049400 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 772049400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246795200).

772049400 is an abundant number, since it is smaller than the sum of its proper divisors (1721541000).

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

772049400 is a wasteful number, since it uses less digits than its factorization.

772049400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 772049400 is about 27785.7769371310. The cubic root of 772049400 is about 917.3780894133.

Adding to 772049400 its reverse (4940277), we get a palindrome (776989677).

The spelling of 772049400 in words is "seven hundred seventy-two million, forty-nine thousand, four hundred".