772819418400 has 144 divisors (see below), whose sum is σ = 2516208577344. Its totient is φ = 206029358080.

The previous prime is 772819418383. The next prime is 772819418419. The reversal of 772819418400 is 4814918277.

It is a super-2 number, since 2×772819418400² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9229522 + ... + 9312878.

It is an arithmetic number, because the mean of its divisors is an integer number (17473670676).

Almost surely, 2^772819418400 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 772819418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258104288672).

772819418400 is an abundant number, since it is smaller than the sum of its proper divisors (1743389158944).

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

772819418400 is a wasteful number, since it uses less digits than its factorization.

772819418400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87243 (or 87230 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 772819418400 in words is "seven hundred seventy-two billion, eight hundred nineteen million, four hundred eighteen thousand, four hundred".