1006077730 has 64 divisors (see below), whose sum is σ = 2218129920. Its totient is φ = 321007104.

The previous prime is 1006077701. The next prime is 1006077749. The reversal of 1006077730 is 377706001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1006077692 and 1006077701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51126 + ... + 68014.

It is an arithmetic number, because the mean of its divisors is an integer number (34658280).

Almost surely, 2^1006077730 is an apocalyptic number.

1006077730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1006077730 is an abundant number, since it is smaller than the sum of its proper divisors (1212052190).

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

1006077730 is a wasteful number, since it uses less digits than its factorization.

1006077730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16963.

The product of its (nonzero) digits is 6174, while the sum is 31.

The square root of 1006077730 is about 31718.7283793030. The cubic root of 1006077730 is about 1002.0218194910.

The spelling of 1006077730 in words is "one billion, six million, seventy-seven thousand, seven hundred thirty".