8262788400 has 480 divisors, whose sum is σ = 31471596800. Its totient is φ = 2052864000.

The previous prime is 8262788377. The next prime is 8262788407. The reversal of 8262788400 is 48872628.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (8262788407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13748100 + ... + 13748700.

Almost surely, 2^8262788400 is an apocalyptic number.

8262788400 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 8262788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735798400).

8262788400 is an abundant number, since it is smaller than the sum of its proper divisors (23208808400).

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

8262788400 is a wasteful number, since it uses less digits than its factorization.

8262788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 697 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 8262788400 is about 90899.8811880412. The cubic root of 8262788400 is about 2021.6635317884.

The spelling of 8262788400 in words is "eight billion, two hundred sixty-two million, seven hundred eighty-eight thousand, four hundred".