977313792 has 448 divisors, whose sum is σ = 3523000320. Its totient is φ = 233570304.

The previous prime is 977313767. The next prime is 977313803. The reversal of 977313792 is 297313779.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42491893 + ... + 42491915.

It is an arithmetic number, because the mean of its divisors is an integer number (7863840).

Almost surely, 2^977313792 is an apocalyptic number.

977313792 is a gapful number since it is divisible by the number (92) 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 977313792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761500160).

977313792 is an abundant number, since it is smaller than the sum of its proper divisors (2545686528).

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

977313792 is a wasteful number, since it uses less digits than its factorization.

977313792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 67 counting only the distinct ones).

The product of its digits is 500094, while the sum is 48.

The square root of 977313792 is about 31262.0183609440. The cubic root of 977313792 is about 992.3800139622.

The spelling of 977313792 in words is "nine hundred seventy-seven million, three hundred thirteen thousand, seven hundred ninety-two".