1057778400 has 288 divisors, whose sum is σ = 3989744640. Its totient is φ = 238417920.

The previous prime is 1057778387. The next prime is 1057778411. The reversal of 1057778400 is 48777501.

1057778400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1057778400² = 2237790287013120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1326802 + ... + 1327598.

It is an arithmetic number, because the mean of its divisors is an integer number (13853280).

Almost surely, 2^1057778400 is an apocalyptic number.

1057778400 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 1057778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994872320).

1057778400 is an abundant number, since it is smaller than the sum of its proper divisors (2931966240).

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

1057778400 is a wasteful number, since it uses less digits than its factorization.

1057778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 1057778400 is about 32523.5053461339. The cubic root of 1057778400 is about 1018.9000060142.

The spelling of 1057778400 in words is "one billion, fifty-seven million, seven hundred seventy-eight thousand, four hundred".