1000077376 has 63 divisors (see below), whose sum is σ = 2049314799. Its totient is φ = 484226688.

The previous prime is 1000077361. The next prime is 1000077401. The reversal of 1000077376 is 6737700001.

It is a happy number.

The square root of 1000077376 is 31624.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14926495 + ... + 14926561.

Almost surely, 2^1000077376 is an apocalyptic number.

1000077376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1000077376 is the 31624-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000077376

1000077376 is an abundant number, since it is smaller than the sum of its proper divisors (1049237423).

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

1000077376 is an frugal number, since it uses more digits than its factorization.

1000077376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 31.

The cubic root of 1000077376 is about 1000.0257913348.

Adding to 1000077376 its reverse (6737700001), we get a palindrome (7737777377).

The spelling of 1000077376 in words is "one billion, seventy-seven thousand, three hundred seventy-six".