1026775200 has 576 divisors, whose sum is σ = 4049740800. Its totient is φ = 223027200.

The previous prime is 1026775187. The next prime is 1026775213. The reversal of 1026775200 is 25776201.

It is an interprime number because it is at equal distance from previous prime (1026775187) and next prime (1026775213).

It is a super-2 number, since 2×1026775200² = 2108534622670080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 11536756 + ... + 11536844.

It is an arithmetic number, because the mean of its divisors is an integer number (7030800).

Almost surely, 2^1026775200 is an apocalyptic number.

1026775200 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 1026775200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2024870400).

1026775200 is an abundant number, since it is smaller than the sum of its proper divisors (3022965600).

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

1026775200 is a wasteful number, since it uses less digits than its factorization.

1026775200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1026775200 is about 32043.3331599570. Note that the first 3 decimals coincide. The cubic root of 1026775200 is about 1008.8465740118.

The spelling of 1026775200 in words is "one billion, twenty-six million, seven hundred seventy-five thousand, two hundred".