77080640 has 112 divisors (see below), whose sum is σ = 225990912. Its totient is φ = 24385536.

The previous prime is 77080631. The next prime is 77080649. The reversal of 77080640 is 4608077.

It is an interprime number because it is at equal distance from previous prime (77080631) and next prime (77080649).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 77080597 and 77080606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77080649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27797 + ... + 30443.

It is an arithmetic number, because the mean of its divisors is an integer number (2017776).

Almost surely, 2^77080640 is an apocalyptic number.

77080640 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 77080640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112995456).

77080640 is an abundant number, since it is smaller than the sum of its proper divisors (148910272).

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

77080640 is a wasteful number, since it uses less digits than its factorization.

77080640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 77080640 is about 8779.5580754386. The cubic root of 77080640 is about 425.5805491704.

The spelling of 77080640 in words is "seventy-seven million, eighty thousand, six hundred forty".