977576000778 has 192 divisors, whose sum is σ = 2611021271040. Its totient is φ = 260949620736.

The previous prime is 977576000771. The next prime is 977576000851. The reversal of 977576000778 is 877000675779.

977576000778 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

977576000778 is a nontrivial binomial coefficient, being equal to C(1398268, 2).

It is not an unprimeable number, because it can be changed into a prime (977576000771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2621751 + ... + 2971317.

It is an arithmetic number, because the mean of its divisors is an integer number (13599069120).

Almost surely, 2^977576000778 is an apocalyptic number.

977576000778 is the 1398267-th triangular number and also the 699134-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977576000778, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305510635520).

977576000778 is an abundant number, since it is smaller than the sum of its proper divisors (1633445270262).

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

977576000778 is a wasteful number, since it uses less digits than its factorization.

977576000778 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349661 (or 349658 counting only the distinct ones).

The product of its (nonzero) digits is 36303120, while the sum is 63.

The spelling of 977576000778 in words is "nine hundred seventy-seven billion, five hundred seventy-six million, seven hundred seventy-eight", and thus it is an aban number.