77066640 has 200 divisors, whose sum is σ = 306081600. Its totient is φ = 17604864.

The previous prime is 77066573. The next prime is 77066653. The reversal of 77066640 is 4666077.

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

It is a junction number, because it is equal to n+sod(n) for n = 77066595 and 77066604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44511 + ... + 46209.

It is an arithmetic number, because the mean of its divisors is an integer number (1530408).

Almost surely, 2^77066640 is an apocalyptic number.

77066640 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 77066640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153040800).

77066640 is an abundant number, since it is smaller than the sum of its proper divisors (229014960).

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

77066640 is a wasteful number, since it uses less digits than its factorization.

77066640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 77066640 is about 8778.7607325863. The cubic root of 77066640 is about 425.5547818336.

The spelling of 77066640 in words is "seventy-seven million, sixty-six thousand, six hundred forty".