1070020800 has 672 divisors, whose sum is σ = 4354007040. Its totient is φ = 254361600.

The previous prime is 1070020799. The next prime is 1070020823. The reversal of 1070020800 is 80200701.

It is a super-2 number, since 2×1070020800² = 2289889024865280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 2.

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, 22766377 + ... + 22766423.

Almost surely, 2^1070020800 is an apocalyptic number.

1070020800 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 1070020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177003520).

1070020800 is an abundant number, since it is smaller than the sum of its proper divisors (3283986240).

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

1070020800 is a wasteful number, since it uses less digits than its factorization.

1070020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1070020800 is about 32711.1724033242. The cubic root of 1070020800 is about 1022.8157492749.

The spelling of 1070020800 in words is "one billion, seventy million, twenty thousand, eight hundred".