77761337472000 has 4224 divisors, whose sum is σ = 363060680306688. Its totient is φ = 16160145408000.

The previous prime is 77761337471999. The next prime is 77761337472017. The reversal of 77761337472000 is 27473316777.

It is a happy number.

77761337472000 is a `hidden beast` number, since 7 + 7 + 7 + 61 + 3 + 374 + 7 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 234928511835 + ... + 234928512165.

Almost surely, 2^{77761337472000} is an apocalyptic number.

77761337472000 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 77761337472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181530340153344).

77761337472000 is an abundant number, since it is smaller than the sum of its proper divisors (285299342834688).

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

77761337472000 is a wasteful number, since it uses less digits than its factorization.

77761337472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 7260624, while the sum is 54.

The spelling of 77761337472000 in words is "seventy-seven trillion, seven hundred sixty-one billion, three hundred thirty-seven million, four hundred seventy-two thousand".