77493820 has 48 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 29041664.

The previous prime is 77493809. The next prime is 77493821. The reversal of 77493820 is 2839477.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77493821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107421 + ... + 108139.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 2^77493820 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 77493820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

77493820 is an abundant number, since it is smaller than the sum of its proper divisors (95599940).

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

77493820 is a wasteful number, since it uses less digits than its factorization.

77493820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 77493820 is about 8803.0574234183. The cubic root of 77493820 is about 426.3396161795.

The spelling of 77493820 in words is "seventy-seven million, four hundred ninety-three thousand, eight hundred twenty".