772890822000 has 1600 divisors, whose sum is σ = 3332748976128. Its totient is φ = 170449920000.

The previous prime is 772890821953. The next prime is 772890822013. The reversal of 772890822000 is 228098277.

It is a happy number.

772890822000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 939113589 + ... + 939114411.

Almost surely, 2^772890822000 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 772890822000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666374488064).

772890822000 is an abundant number, since it is smaller than the sum of its proper divisors (2559858154128).

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

772890822000 is a wasteful number, since it uses less digits than its factorization.

772890822000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 772890822000 in words is "seven hundred seventy-two billion, eight hundred ninety million, eight hundred twenty-two thousand".