862783778400 has 144 divisors (see below), whose sum is σ = 2809539177984. Its totient is φ = 229979169280.

The previous prime is 862783778369. The next prime is 862783778401. The reversal of 862783778400 is 4877387268.

It is a happy number.

862783778400 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 (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862783778401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5741017 + ... + 5889383.

It is an arithmetic number, because the mean of its divisors is an integer number (19510688736).

Almost surely, 2^862783778400 is an apocalyptic number.

862783778400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 862783778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404769588992).

862783778400 is an abundant number, since it is smaller than the sum of its proper divisors (1946755399584).

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

862783778400 is a wasteful number, since it uses less digits than its factorization.

862783778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150813 (or 150800 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 60.

The spelling of 862783778400 in words is "eight hundred sixty-two billion, seven hundred eighty-three million, seven hundred seventy-eight thousand, four hundred".