977329075320 has 768 divisors, whose sum is σ = 3674633558400. Its totient is φ = 230750208000.

The previous prime is 977329075301. The next prime is 977329075369. The reversal of 977329075320 is 23570923779.

977329075320 is a `hidden beast` number, since 9 + 77 + 32 + 9 + 0 + 7 + 532 + 0 = 666.

977329075320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 456481450 + ... + 456483590.

Almost surely, 2^977329075320 is an apocalyptic number.

977329075320 is a gapful number since it is divisible by the number (90) 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 977329075320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837316779200).

977329075320 is an abundant number, since it is smaller than the sum of its proper divisors (2697304483080).

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

977329075320 is a wasteful number, since it uses less digits than its factorization.

977329075320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2289 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 5000940, while the sum is 54.

The spelling of 977329075320 in words is "nine hundred seventy-seven billion, three hundred twenty-nine million, seventy-five thousand, three hundred twenty".