77077980 has 180 divisors, whose sum is σ = 281563128. Its totient is φ = 17599680.

The previous prime is 77077963. The next prime is 77078021. The reversal of 77077980 is 8977077.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 59 ways as a sum of consecutive naturals, for example, 78895 + ... + 79865.

Almost surely, 2^77077980 is an apocalyptic number.

77077980 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 77077980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140781564).

77077980 is an abundant number, since it is smaller than the sum of its proper divisors (204485148).

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

77077980 is a wasteful number, since it uses less digits than its factorization.

77077980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 172872, while the sum is 45.

The square root of 77077980 is about 8779.4065858690. The cubic root of 77077980 is about 425.5756536165.

The spelling of 77077980 in words is "seventy-seven million, seventy-seven thousand, nine hundred eighty".