977737320 has 384 divisors, whose sum is σ = 3982867200. Its totient is φ = 202825728.

The previous prime is 977737309. The next prime is 977737331. The reversal of 977737320 is 23737779.

It is an interprime number because it is at equal distance from previous prime (977737309) and next prime (977737331).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1241967 + ... + 1242753.

It is an arithmetic number, because the mean of its divisors is an integer number (10372050).

Almost surely, 2^977737320 is an apocalyptic number.

977737320 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 977737320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991433600).

977737320 is an abundant number, since it is smaller than the sum of its proper divisors (3005129880).

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

977737320 is a wasteful number, since it uses less digits than its factorization.

977737320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 388962, while the sum is 45.

The square root of 977737320 is about 31268.7914700904. The cubic root of 977737320 is about 992.5233456219.

The spelling of 977737320 in words is "nine hundred seventy-seven million, seven hundred thirty-seven thousand, three hundred twenty".