860777864800 has 432 divisors, whose sum is σ = 2490503691312. Its totient is φ = 289607270400.

The previous prime is 860777864789. The next prime is 860777864803. The reversal of 860777864800 is 8468777068.

860777864800 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 not an unprimeable number, because it can be changed into a prime (860777864803) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 666752155 + ... + 666753445.

It is an arithmetic number, because the mean of its divisors is an integer number (5765054841).

Almost surely, 2^860777864800 is an apocalyptic number.

860777864800 is a gapful number since it is divisible by the number (80) 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 860777864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245251845656).

860777864800 is an abundant number, since it is smaller than the sum of its proper divisors (1629725826512).

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

860777864800 is a wasteful number, since it uses less digits than its factorization.

860777864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 25288704, while the sum is 61.

The spelling of 860777864800 in words is "eight hundred sixty billion, seven hundred seventy-seven million, eight hundred sixty-four thousand, eight hundred".