1006770400 has 72 divisors (see below), whose sum is σ = 2462420520. Its totient is φ = 401948160.

The previous prime is 1006770389. The next prime is 1006770419. The reversal of 1006770400 is 40776001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 636811 + ... + 638389.

It is an arithmetic number, because the mean of its divisors is an integer number (34200285).

Almost surely, 2^1006770400 is an apocalyptic number.

1006770400 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 1006770400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231210260).

1006770400 is an abundant number, since it is smaller than the sum of its proper divisors (1455650120).

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

1006770400 is a wasteful number, since it uses less digits than its factorization.

1006770400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 1006770400 is about 31729.6454439693. The cubic root of 1006770400 is about 1002.2517259247.

The spelling of 1006770400 in words is "one billion, six million, seven hundred seventy thousand, four hundred".