1077632760 has 64 divisors (see below), whose sum is σ = 3249216000. Its totient is φ = 285918336.

The previous prime is 1077632713. The next prime is 1077632783. The reversal of 1077632760 is 672367701.

It is a super-2 number, since 2×1077632760² = 2322584730850435200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1317 + ... + 46443.

It is an arithmetic number, because the mean of its divisors is an integer number (50769000).

Almost surely, 2^1077632760 is an apocalyptic number.

1077632760 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 1077632760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624608000).

1077632760 is an abundant number, since it is smaller than the sum of its proper divisors (2171583240).

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

1077632760 is a wasteful number, since it uses less digits than its factorization.

1077632760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45340 (or 45336 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 1077632760 is about 32827.3172830190. The cubic root of 1077632760 is about 1025.2354041913.

The spelling of 1077632760 in words is "one billion, seventy-seven million, six hundred thirty-two thousand, seven hundred sixty".