77304920 has 128 divisors (see below), whose sum is σ = 228441600. Its totient is φ = 22809600.

The previous prime is 77304911. The next prime is 77304943. The reversal of 77304920 is 2940377.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57860 + ... + 59180.

It is an arithmetic number, because the mean of its divisors is an integer number (1784700).

Almost surely, 2^77304920 is an apocalyptic number.

77304920 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 77304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114220800).

77304920 is an abundant number, since it is smaller than the sum of its proper divisors (151136680).

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

77304920 is a wasteful number, since it uses less digits than its factorization.

77304920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 32.

The square root of 77304920 is about 8792.3216501673. The cubic root of 77304920 is about 425.9929172193.

The spelling of 77304920 in words is "seventy-seven million, three hundred four thousand, nine hundred twenty".