77949189470880 has 5760 divisors, whose sum is σ = 377121153024000. Its totient is φ = 15098646011904.

The previous prime is 77949189470843. The next prime is 77949189471017. The reversal of 77949189470880 is 8807498194977.

77949189470880 is a `hidden beast` number, since 7 + 7 + 9 + 491 + 8 + 9 + 47 + 0 + 8 + 80 = 666.

It is a super-2 number, since 2×77949189470880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 77949189470880.

It is an unprimeable number.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 613773145377 + ... + 613773145503.

It is an arithmetic number, because the mean of its divisors is an integer number (65472422400).

Almost surely, 2^{77949189470880} is an apocalyptic number.

77949189470880 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 77949189470880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188560576512000).

77949189470880 is an abundant number, since it is smaller than the sum of its proper divisors (299171963553120).

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

77949189470880 is a wasteful number, since it uses less digits than its factorization.

77949189470880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2048385024, while the sum is 81.

The spelling of 77949189470880 in words is "seventy-seven trillion, nine hundred forty-nine billion, one hundred eighty-nine million, four hundred seventy thousand, eight hundred eighty".