77075712 has 252 divisors, whose sum is σ = 268091040. Its totient is φ = 21648384.

The previous prime is 77075711. The next prime is 77075717. The reversal of 77075712 is 21757077.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (252).

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 (77075711) 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 27 ways as a sum of consecutive naturals, for example, 1306339 + ... + 1306397.

Almost surely, 2^77075712 is an apocalyptic number.

77075712 is a gapful number since it is divisible by the number (72) 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 77075712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134045520).

77075712 is an abundant number, since it is smaller than the sum of its proper divisors (191015328).

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

77075712 is an frugal number, since it uses more digits than its factorization.

77075712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 24010, while the sum is 36.

The square root of 77075712 is about 8779.2774190135. The cubic root of 77075712 is about 425.5714794237.

The spelling of 77075712 in words is "seventy-seven million, seventy-five thousand, seven hundred twelve".