1025740800 has 624 divisors, whose sum is σ = 4387754880. Its totient is φ = 230031360.

The previous prime is 1025740799. The next prime is 1025740811. The reversal of 1025740800 is 80475201.

1025740800 is a `hidden beast` number, since 1 + 0 + 257 + 408 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 19353574 + ... + 19353626.

Almost surely, 2^1025740800 is an apocalyptic number.

1025740800 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 1025740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2193877440).

1025740800 is an abundant number, since it is smaller than the sum of its proper divisors (3362014080).

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

1025740800 is an equidigital number, since it uses as much as digits as its factorization.

1025740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1025740800 is about 32027.1884498156. The cubic root of 1025740800 is about 1008.5076807708.

The spelling of 1025740800 in words is "one billion, twenty-five million, seven hundred forty thousand, eight hundred".