1077447672 has 144 divisors (see below), whose sum is σ = 3511895400. Its totient is φ = 297198720.

The previous prime is 1077447667. The next prime is 1077447677. The reversal of 1077447672 is 2767447701.

1077447672 is a `hidden beast` number, since 107 + 7 + 4 + 476 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (1077447667) and next prime (1077447677).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077447677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97047 + ... + 107577.

Almost surely, 2^1077447672 is an apocalyptic number.

1077447672 is a gapful number since it is divisible by the number (12) 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 1077447672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755947700).

1077447672 is an abundant number, since it is smaller than the sum of its proper divisors (2434447728).

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

1077447672 is a wasteful number, since it uses less digits than its factorization.

1077447672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 460992, while the sum is 45.

The square root of 1077447672 is about 32824.4980464287. The cubic root of 1077447672 is about 1025.1767046533.

The spelling of 1077447672 in words is "one billion, seventy-seven million, four hundred forty-seven thousand, six hundred seventy-two".