977907705360 has 320 divisors, whose sum is σ = 3181945628160. Its totient is φ = 247973806080.

The previous prime is 977907705349. The next prime is 977907705367. The reversal of 977907705360 is 63507709779.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 977907705294 and 977907705303.

It is not an unprimeable number, because it can be changed into a prime (977907705367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 969184536 + ... + 969185544.

It is an arithmetic number, because the mean of its divisors is an integer number (9943580088).

Almost surely, 2^977907705360 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 977907705360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1590972814080).

977907705360 is an abundant number, since it is smaller than the sum of its proper divisors (2204037922800).

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

977907705360 is a wasteful number, since it uses less digits than its factorization.

977907705360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 17503290, while the sum is 60.

The spelling of 977907705360 in words is "nine hundred seventy-seven billion, nine hundred seven million, seven hundred five thousand, three hundred sixty".