77445940 has 72 divisors (see below), whose sum is σ = 192211488. Its totient is φ = 25983360.

The previous prime is 77445923. The next prime is 77445941. The reversal of 77445940 is 4954477.

It is a junction number, because it is equal to n+sod(n) for n = 77445893 and 77445902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77445941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36139 + ... + 38221.

It is an arithmetic number, because the mean of its divisors is an integer number (2669604).

Almost surely, 2^77445940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77445940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96105744).

77445940 is an abundant number, since it is smaller than the sum of its proper divisors (114765548).

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

77445940 is a wasteful number, since it uses less digits than its factorization.

77445940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 77445940 is about 8800.3374935283. The cubic root of 77445940 is about 426.2517926327.

The spelling of 77445940 in words is "seventy-seven million, four hundred forty-five thousand, nine hundred forty".