77626640 has 80 divisors (see below), whose sum is σ = 222152448. Its totient is φ = 24565248.

The previous prime is 77626603. The next prime is 77626691. The reversal of 77626640 is 4662677.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 77626594 and 77626603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1949 + ... + 12611.

Almost surely, 2^77626640 is an apocalyptic number.

77626640 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 77626640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111076224).

77626640 is an abundant number, since it is smaller than the sum of its proper divisors (144525808).

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

77626640 is a wasteful number, since it uses less digits than its factorization.

77626640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696 (or 10690 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 77626640 is about 8810.5981635755. The cubic root of 77626640 is about 426.5830511059.

The spelling of 77626640 in words is "seventy-seven million, six hundred twenty-six thousand, six hundred forty".