977768293824 has 840 divisors, whose sum is σ = 3502106353152. Its totient is φ = 268667642880.

The previous prime is 977768293819. The next prime is 977768293849. The reversal of 977768293824 is 428392867779.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 1787510319 + ... + 1787510865.

Almost surely, 2^977768293824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 977768293824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1751053176576).

977768293824 is an abundant number, since it is smaller than the sum of its proper divisors (2524338059328).

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

977768293824 is a wasteful number, since it uses less digits than its factorization.

977768293824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 817 counting only the distinct ones).

The product of its digits is 512096256, while the sum is 72.

The spelling of 977768293824 in words is "nine hundred seventy-seven billion, seven hundred sixty-eight million, two hundred ninety-three thousand, eight hundred twenty-four".