77682640 has 160 divisors (see below), whose sum is σ = 223200000. Its totient is φ = 25062912.

The previous prime is 77682629. The next prime is 77682679. The reversal of 77682640 is 4628677.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 77682593 and 77682602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521286 + ... + 521434.

It is an arithmetic number, because the mean of its divisors is an integer number (1395000).

Almost surely, 2^77682640 is an apocalyptic number.

77682640 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 77682640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111600000).

77682640 is an abundant number, since it is smaller than the sum of its proper divisors (145517360).

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

77682640 is a wasteful number, since it uses less digits than its factorization.

77682640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 77682640 is about 8813.7755814407. The cubic root of 77682640 is about 426.6856057131.

The spelling of 77682640 in words is "seventy-seven million, six hundred eighty-two thousand, six hundred forty".