77126280000 has 1120 divisors, whose sum is σ = 337305627648. Its totient is φ = 15052800000.

The previous prime is 77126279977. The next prime is 77126280037. The reversal of 77126280000 is 8262177.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 157079755 + ... + 157080245.

Almost surely, 2^77126280000 is an apocalyptic number.

77126280000 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 77126280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168652813824).

77126280000 is an abundant number, since it is smaller than the sum of its proper divisors (260179347648).

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

77126280000 is a wasteful number, since it uses less digits than its factorization.

77126280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 77126280000 in words is "seventy-seven billion, one hundred twenty-six million, two hundred eighty thousand".