77918400560 has 480 divisors, whose sum is σ = 250306604352. Its totient is φ = 22171484160.

The previous prime is 77918400541. The next prime is 77918400641. The reversal of 77918400560 is 6500481977.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 54373604 + ... + 54375036.

Almost surely, 2^77918400560 is an apocalyptic number.

77918400560 is a gapful number since it is divisible by the number (70) 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 77918400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125153302176).

77918400560 is an abundant number, since it is smaller than the sum of its proper divisors (172388203792).

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

77918400560 is a wasteful number, since it uses less digits than its factorization.

77918400560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The spelling of 77918400560 in words is "seventy-seven billion, nine hundred eighteen million, four hundred thousand, five hundred sixty".