77474880000 has 1500 divisors, whose sum is σ = 341647764282. Its totient is φ = 17418240000.

The previous prime is 77474879929. The next prime is 77474880013. The reversal of 77474880000 is 8847477.

It can be written as a sum of positive squares in 5 ways, for example, as 2854123776 + 74620756224 = 53424^2 + 273168^2 .

It is a tau number, because it is divible by the number of its divisors (1500).

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

It is an unprimeable number.

It is a polite number, since it can be written in 149 ways as a sum of consecutive naturals, for example, 1270079970 + ... + 1270080030.

Almost surely, 2^77474880000 is an apocalyptic number.

77474880000 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 77474880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170823882141).

77474880000 is an abundant number, since it is smaller than the sum of its proper divisors (264172884282).

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

77474880000 is an frugal number, since it uses more digits than its factorization.

77474880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The spelling of 77474880000 in words is "seventy-seven billion, four hundred seventy-four million, eight hundred eighty thousand".