77449236480 has 1664 divisors, whose sum is σ = 366872924160. Its totient is φ = 15005122560.

The previous prime is 77449236421. The next prime is 77449236481. The reversal of 77449236480 is 8463294477.

77449236480 is a `hidden beast` number, since 7 + 7 + 44 + 92 + 36 + 480 = 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 (77449236481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 723824587 + ... + 723824693.

Almost surely, 2^77449236480 is an apocalyptic number.

77449236480 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 77449236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183436462080).

77449236480 is an abundant number, since it is smaller than the sum of its proper divisors (289423687680).

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

77449236480 is a wasteful number, since it uses less digits than its factorization.

77449236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 77449236480 in words is "seventy-seven billion, four hundred forty-nine million, two hundred thirty-six thousand, four hundred eighty".