77641340 has 96 divisors (see below), whose sum is σ = 193342464. Its totient is φ = 25643520.

The previous prime is 77641337. The next prime is 77641351. The reversal of 77641340 is 4314677.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 77641297 and 77641306.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 725567 + ... + 725673.

It is an arithmetic number, because the mean of its divisors is an integer number (2013984).

Almost surely, 2^77641340 is an apocalyptic number.

77641340 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 77641340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96671232).

77641340 is an abundant number, since it is smaller than the sum of its proper divisors (115701124).

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

77641340 is a wasteful number, since it uses less digits than its factorization.

77641340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 32.

The square root of 77641340 is about 8811.4323466733. The cubic root of 77641340 is about 426.6099764633.

The spelling of 77641340 in words is "seventy-seven million, six hundred forty-one thousand, three hundred forty".