77334840 has 192 divisors, whose sum is σ = 279676800. Its totient is φ = 18374400.

The previous prime is 77334821. The next prime is 77334871. The reversal of 77334840 is 4843377.

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 = 77334795 and 77334804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 233475 + ... + 233805.

It is an arithmetic number, because the mean of its divisors is an integer number (1456650).

Almost surely, 2^77334840 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 77334840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139838400).

77334840 is an abundant number, since it is smaller than the sum of its proper divisors (202341960).

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

77334840 is a wasteful number, since it uses less digits than its factorization.

77334840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 77334840 is about 8794.0229701770. The cubic root of 77334840 is about 426.0478687199.

The spelling of 77334840 in words is "seventy-seven million, three hundred thirty-four thousand, eight hundred forty".