77846340 has 192 divisors, whose sum is σ = 263273472. Its totient is φ = 16934400.

The previous prime is 77846303. The next prime is 77846359. The reversal of 77846340 is 4364877.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 368835 + ... + 369045.

It is an arithmetic number, because the mean of its divisors is an integer number (1371216).

Almost surely, 2^77846340 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 77846340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131636736).

77846340 is an abundant number, since it is smaller than the sum of its proper divisors (185427132).

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

77846340 is a wasteful number, since it uses less digits than its factorization.

77846340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 77846340 is about 8823.0572932516. The cubic root of 77846340 is about 426.9851124727.

The spelling of 77846340 in words is "seventy-seven million, eight hundred forty-six thousand, three hundred forty".