77739480000 has 1680 divisors, whose sum is σ = 360929590560. Its totient is φ = 16257024000.

The previous prime is 77739479989. The next prime is 77739480019. The reversal of 77739480000 is 8493777.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 687959944 + ... + 687960056.

It is an arithmetic number, because the mean of its divisors is an integer number (214839042).

Almost surely, 2^77739480000 is an apocalyptic number.

77739480000 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 77739480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180464795280).

77739480000 is an abundant number, since it is smaller than the sum of its proper divisors (283190110560).

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

77739480000 is a wasteful number, since it uses less digits than its factorization.

77739480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 77739480000 in words is "seventy-seven billion, seven hundred thirty-nine million, four hundred eighty thousand".