77126049000 has 1152 divisors, whose sum is σ = 356553550080. Its totient is φ = 14781312000.

The previous prime is 77126048983. The next prime is 77126049031. The reversal of 77126049000 is 94062177.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63062389 + ... + 63063611.

It is an arithmetic number, because the mean of its divisors is an integer number (309508290).

Almost surely, 2^77126049000 is an apocalyptic number.

77126049000 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 77126049000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178276775040).

77126049000 is an abundant number, since it is smaller than the sum of its proper divisors (279427501080).

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

77126049000 is a wasteful number, since it uses less digits than its factorization.

77126049000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 77126049000 in words is "seventy-seven billion, one hundred twenty-six million, forty-nine thousand".