1077414976 has 63 divisors (see below), whose sum is σ = 2356345173. Its totient is φ = 488421120.

The previous prime is 1077414941. The next prime is 1077414979. The reversal of 1077414976 is 6794147701.

The square root of 1077414976 is 32824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 585640000 + 491774976 = 24200^2 + 22176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1077414979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2888326 + ... + 2888698.

Almost surely, 2^1077414976 is an apocalyptic number.

1077414976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1077414976 is the 32824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077414976

1077414976 is an abundant number, since it is smaller than the sum of its proper divisors (1278930197).

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

1077414976 is an frugal number, since it uses more digits than its factorization.

1077414976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 46.

The cubic root of 1077414976 is about 1025.1663346163.

The spelling of 1077414976 in words is "one billion, seventy-seven million, four hundred fourteen thousand, nine hundred seventy-six".