772362240000 has 640 divisors, whose sum is σ = 2774519119680. Its totient is φ = 189923328000.

The previous prime is 772362239989. The next prime is 772362240043. The reversal of 772362240000 is 42263277.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-4 number, since 4×772362240000⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 798719517 + ... + 798720483.

Almost surely, 2^772362240000 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 772362240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387259559840).

772362240000 is an abundant number, since it is smaller than the sum of its proper divisors (2002156879680).

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

772362240000 is an frugal number, since it uses more digits than its factorization.

772362240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The spelling of 772362240000 in words is "seven hundred seventy-two billion, three hundred sixty-two million, two hundred forty thousand".