77027639472 has 800 divisors, whose sum is σ = 287961569280. Its totient is φ = 19349176320.

The previous prime is 77027639383. The next prime is 77027639473. The reversal of 77027639472 is 27493672077.

77027639472 is a `hidden beast` number, since 7 + 70 + 2 + 76 + 39 + 472 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (77027639473) 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, 284234697 + ... + 284234967.

Almost surely, 2^77027639472 is an apocalyptic number.

77027639472 is a gapful number since it is divisible by the number (72) 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 77027639472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143980784640).

77027639472 is an abundant number, since it is smaller than the sum of its proper divisors (210933929808).

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

77027639472 is a wasteful number, since it uses less digits than its factorization.

77027639472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 77027639472 in words is "seventy-seven billion, twenty-seven million, six hundred thirty-nine thousand, four hundred seventy-two".