77614040 has 64 divisors (see below), whose sum is σ = 203688000. Its totient is φ = 26605824.

The previous prime is 77614039. The next prime is 77614057. The reversal of 77614040 is 4041677.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77613994 and 77614012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10892 + ... + 16548.

It is an arithmetic number, because the mean of its divisors is an integer number (3182625).

Almost surely, 2^77614040 is an apocalyptic number.

77614040 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77614040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101844000).

77614040 is an abundant number, since it is smaller than the sum of its proper divisors (126073960).

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

77614040 is a wasteful number, since it uses less digits than its factorization.

77614040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5671 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 77614040 is about 8809.8830866249. The cubic root of 77614040 is about 426.5599695226.

The spelling of 77614040 in words is "seventy-seven million, six hundred fourteen thousand, forty".