77300928 has 84 divisors (see below), whose sum is σ = 226794568. Its totient is φ = 25159680.

The previous prime is 77300917. The next prime is 77300929. The reversal of 77300928 is 82900377.

It is a super-2 number, since 2×77300928² = 11950866939322368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 77300892 and 77300901.

It is not an unprimeable number, because it can be changed into a prime (77300929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23208 + ... + 26328.

Almost surely, 2^77300928 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 77300928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113397284).

77300928 is an abundant number, since it is smaller than the sum of its proper divisors (149493640).

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

77300928 is a wasteful number, since it uses less digits than its factorization.

77300928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 3169 counting only the distinct ones).

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

The square root of 77300928 is about 8792.0946309739. The cubic root of 77300928 is about 425.9855843829.

The spelling of 77300928 in words is "seventy-seven million, three hundred thousand, nine hundred twenty-eight".