77413980 has 192 divisors, whose sum is σ = 266112000. Its totient is φ = 16422912.

The previous prime is 77413979. The next prime is 77413991. The reversal of 77413980 is 8931477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 710166 + ... + 710274.

It is an arithmetic number, because the mean of its divisors is an integer number (1386000).

Almost surely, 2^77413980 is an apocalyptic number.

77413980 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 77413980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056000).

77413980 is an abundant number, since it is smaller than the sum of its proper divisors (188698020).

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

77413980 is a wasteful number, since it uses less digits than its factorization.

77413980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 77413980 is about 8798.5214667011. The cubic root of 77413980 is about 426.1931500851.

The spelling of 77413980 in words is "seventy-seven million, four hundred thirteen thousand, nine hundred eighty".