77034930 has 128 divisors (see below), whose sum is σ = 228096000. Its totient is φ = 16257024.

The previous prime is 77034901. The next prime is 77034931. The reversal of 77034930 is 3943077.

It is a junction number, because it is equal to n+sod(n) for n = 77034891 and 77034900.

It is not an unprimeable number, because it can be changed into a prime (77034931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 171346 + ... + 171794.

It is an arithmetic number, because the mean of its divisors is an integer number (1782000).

Almost surely, 2^77034930 is an apocalyptic number.

77034930 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 77034930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114048000).

77034930 is an abundant number, since it is smaller than the sum of its proper divisors (151061070).

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

77034930 is a wasteful number, since it uses less digits than its factorization.

77034930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528.

The product of its (nonzero) digits is 15876, while the sum is 33.

The square root of 77034930 is about 8776.9544831906. The cubic root of 77034930 is about 425.4964072746.

The spelling of 77034930 in words is "seventy-seven million, thirty-four thousand, nine hundred thirty".