77302980 has 144 divisors (see below), whose sum is σ = 247665600. Its totient is φ = 19488000.

The previous prime is 77302957. The next prime is 77302987. The reversal of 77302980 is 8920377.

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

It is not an unprimeable number, because it can be changed into a prime (77302987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307855 + ... + 308105.

It is an arithmetic number, because the mean of its divisors is an integer number (1719900).

Almost surely, 2^77302980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77302980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123832800).

77302980 is an abundant number, since it is smaller than the sum of its proper divisors (170362620).

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

77302980 is a wasteful number, since it uses less digits than its factorization.

77302980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 77302980 is about 8792.2113259407. The cubic root of 77302980 is about 425.9893536981.

The spelling of 77302980 in words is "seventy-seven million, three hundred two thousand, nine hundred eighty".