77071680 has 168 divisors, whose sum is σ = 303044352. Its totient is φ = 17611776.

The previous prime is 77071663. The next prime is 77071691. The reversal of 77071680 is 8617077.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 18249 + ... + 22071.

Almost surely, 2^77071680 is an apocalyptic number.

77071680 is a gapful number since it is divisible by the number (70) 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 77071680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151522176).

77071680 is an abundant number, since it is smaller than the sum of its proper divisors (225972672).

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

77071680 is a wasteful number, since it uses less digits than its factorization.

77071680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3853 (or 3840 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 77071680 is about 8779.0477843557. The cubic root of 77071680 is about 425.5640584343.

The spelling of 77071680 in words is "seventy-seven million, seventy-one thousand, six hundred eighty".