77687754480 has 800 divisors, whose sum is σ = 324712967040. Its totient is φ = 16840949760.

The previous prime is 77687754479. The next prime is 77687754481. The reversal of 77687754480 is 8445778677.

77687754480 is a `hidden beast` number, since 7 + 7 + 6 + 8 + 7 + 7 + 544 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (77687754479) and next prime (77687754481).

It is a super-2 number, since 2×77687754480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77687754481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 68810556 + ... + 68811684.

Almost surely, 2^77687754480 is an apocalyptic number.

77687754480 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 77687754480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162356483520).

77687754480 is an abundant number, since it is smaller than the sum of its proper divisors (247025212560).

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

77687754480 is a wasteful number, since it uses less digits than its factorization.

77687754480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 77687754480 in words is "seventy-seven billion, six hundred eighty-seven million, seven hundred fifty-four thousand, four hundred eighty".