77675640 has 128 divisors (see below), whose sum is σ = 269568000. Its totient is φ = 17538048.

The previous prime is 77675639. The next prime is 77675651. The reversal of 77675640 is 4657677.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 77675592 and 77675601.

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, 74241 + ... + 75279.

It is an arithmetic number, because the mean of its divisors is an integer number (2106000).

Almost surely, 2^77675640 is an apocalyptic number.

77675640 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 77675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134784000).

77675640 is an abundant number, since it is smaller than the sum of its proper divisors (191892360).

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

77675640 is a wasteful number, since it uses less digits than its factorization.

77675640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 42.

The square root of 77675640 is about 8813.3784668537. The cubic root of 77675640 is about 426.6727890832.

The spelling of 77675640 in words is "seventy-seven million, six hundred seventy-five thousand, six hundred forty".