977705652 has 288 divisors, whose sum is σ = 3088834560. Its totient is φ = 235065600.

The previous prime is 977705647. The next prime is 977705669. The reversal of 977705652 is 256507779.

977705652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9137383 + ... + 9137489.

It is an arithmetic number, because the mean of its divisors is an integer number (10725120).

Almost surely, 2^977705652 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 977705652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544417280).

977705652 is an abundant number, since it is smaller than the sum of its proper divisors (2111128908).

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

977705652 is a wasteful number, since it uses less digits than its factorization.

977705652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The square root of 977705652 is about 31268.2850824921. The cubic root of 977705652 is about 992.5126298710.

The spelling of 977705652 in words is "nine hundred seventy-seven million, seven hundred five thousand, six hundred fifty-two".