1054772800 has 84 divisors (see below), whose sum is σ = 2655931696. Its totient is φ = 412070400.

The previous prime is 1054772791. The next prime is 1054772819. The reversal of 1054772800 is 82774501.

It is a happy number.

It is a super-2 number, since 2×1054772800² = 2225091319239680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61135 + ... + 76465.

Almost surely, 2^1054772800 is an apocalyptic number.

1054772800 is a gapful number since it is divisible by the number (10) 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 1054772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327965848).

1054772800 is an abundant number, since it is smaller than the sum of its proper divisors (1601158896).

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

1054772800 is a wasteful number, since it uses less digits than its factorization.

1054772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396 (or 15381 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 34.

The square root of 1054772800 is about 32477.2658947763. The cubic root of 1054772800 is about 1017.9340472401.

The spelling of 1054772800 in words is "one billion, fifty-four million, seven hundred seventy-two thousand, eight hundred".