1077657012 has 72 divisors (see below), whose sum is σ = 2776300800. Its totient is φ = 352392768.

The previous prime is 1077656947. The next prime is 1077657017. The reversal of 1077657012 is 2107567701.

1077657012 is a `hidden beast` number, since 1 + 0 + 7 + 76 + 570 + 12 = 666.

It is a super-2 number, since 2×1077657012² = 2322689271025536288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1077657017) 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, 473814 + ... + 476082.

Almost surely, 2^1077657012 is an apocalyptic number.

1077657012 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 1077657012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388150400).

1077657012 is an abundant number, since it is smaller than the sum of its proper divisors (1698643788).

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

1077657012 is a wasteful number, since it uses less digits than its factorization.

1077657012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 20580, while the sum is 36.

The square root of 1077657012 is about 32827.6866684206. The cubic root of 1077657012 is about 1025.2430950681.

The spelling of 1077657012 in words is "one billion, seventy-seven million, six hundred fifty-seven thousand, twelve".