772099200000 has 1584 divisors, whose sum is σ = 3143223195840. Its totient is φ = 181370880000.

The previous prime is 772099199957. The next prime is 772099200023. The reversal of 772099200000 is 2990277.

It is a super-2 number, since 2×772099200000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9302399959 + ... + 9302400041.

Almost surely, 2^772099200000 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 772099200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571611597920).

772099200000 is an abundant number, since it is smaller than the sum of its proper divisors (2371123995840).

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

772099200000 is a wasteful number, since it uses less digits than its factorization.

772099200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 772099200000 in words is "seven hundred seventy-two billion, ninety-nine million, two hundred thousand".