1077318000 has 240 divisors, whose sum is σ = 4105531872. Its totient is φ = 261120000.

The previous prime is 1077317977. The next prime is 1077318017. The reversal of 1077318000 is 8137701.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1077318000² = 2321228146248000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195280 + ... + 200720.

Almost surely, 2^1077318000 is an apocalyptic number.

1077318000 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 1077318000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2052765936).

1077318000 is an abundant number, since it is smaller than the sum of its proper divisors (3028213872).

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

1077318000 is a wasteful number, since it uses less digits than its factorization.

1077318000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5481 (or 5462 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 1077318000 is about 32822.5227549620. The cubic root of 1077318000 is about 1025.1355759592.

The spelling of 1077318000 in words is "one billion, seventy-seven million, three hundred eighteen thousand".