772488648000 has 336 divisors, whose sum is σ = 2770524740880. Its totient is φ = 205459968000.

The previous prime is 772488647999. The next prime is 772488648037. The reversal of 772488648000 is 846884277.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 107337485376 + 665151162624 = 327624^2 + 815568^2 .

It is a super-2 number, since 2×772488648000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27994210 + ... + 28021790.

Almost surely, 2^772488648000 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 772488648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385262370440).

772488648000 is an abundant number, since it is smaller than the sum of its proper divisors (1998036092880).

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

772488648000 is a wasteful number, since it uses less digits than its factorization.

772488648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28003 (or 27980 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 772488648000 in words is "seven hundred seventy-two billion, four hundred eighty-eight million, six hundred forty-eight thousand".