1076376672 has 144 divisors (see below), whose sum is σ = 3517113600. Its totient is φ = 305876736.

The previous prime is 1076376671. The next prime is 1076376713. The reversal of 1076376672 is 2766736701.

1076376672 is a `hidden beast` number, since 1 + 0 + 7 + 637 + 6 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076376671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 399843 + ... + 402525.

It is an arithmetic number, because the mean of its divisors is an integer number (24424400).

Almost surely, 2^1076376672 is an apocalyptic number.

1076376672 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 1076376672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758556800).

1076376672 is an abundant number, since it is smaller than the sum of its proper divisors (2440736928).

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

1076376672 is a wasteful number, since it uses less digits than its factorization.

1076376672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 444528, while the sum is 45.

The square root of 1076376672 is about 32808.1799556147. The cubic root of 1076376672 is about 1024.8369114308.

The spelling of 1076376672 in words is "one billion, seventy-six million, three hundred seventy-six thousand, six hundred seventy-two".