1077697152 has 192 divisors, whose sum is σ = 3580200000. Its totient is φ = 304791552.

The previous prime is 1077697147. The next prime is 1077697193. The reversal of 1077697152 is 2517967701.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1077697152² = 2322862302857822208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1077697098 and 1077697107.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862224 + ... + 863472.

It is an arithmetic number, because the mean of its divisors is an integer number (18646875).

Almost surely, 2^1077697152 is an apocalyptic number.

1077697152 is a gapful number since it is divisible by the number (12) 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 1077697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790100000).

1077697152 is an abundant number, since it is smaller than the sum of its proper divisors (2502502848).

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

1077697152 is a wasteful number, since it uses less digits than its factorization.

1077697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1383 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The square root of 1077697152 is about 32828.2980369071. The cubic root of 1077697152 is about 1025.2558241481.

It can be divided in two parts, 107769 and 7152, that added together give a square (114921 = 339²).

The spelling of 1077697152 in words is "one billion, seventy-seven million, six hundred ninety-seven thousand, one hundred fifty-two".