77100660 has 240 divisors, whose sum is σ = 298252416. Its totient is φ = 16236288.

The previous prime is 77100649. The next prime is 77100679. The reversal of 77100660 is 6600177.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 147159 + ... + 147681.

Almost surely, 2^77100660 is an apocalyptic number.

77100660 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 77100660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149126208).

77100660 is an abundant number, since it is smaller than the sum of its proper divisors (221151756).

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

77100660 is a wasteful number, since it uses less digits than its factorization.

77100660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 77100660 is about 8780.6981499195. The cubic root of 77100660 is about 425.6173910418.

The spelling of 77100660 in words is "seventy-seven million, one hundred thousand, six hundred sixty".