82763444400 has 480 divisors, whose sum is σ = 327483706368. Its totient is φ = 17398886400.

The previous prime is 82763444371. The next prime is 82763444437. The reversal of 82763444400 is 444436728.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33959982 + ... + 33962418.

Almost surely, 2^82763444400 is an apocalyptic number.

82763444400 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 82763444400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163741853184).

82763444400 is an abundant number, since it is smaller than the sum of its proper divisors (244720261968).

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

82763444400 is a wasteful number, since it uses less digits than its factorization.

82763444400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The spelling of 82763444400 in words is "eighty-two billion, seven hundred sixty-three million, four hundred forty-four thousand, four hundred".