76677552 has 90 divisors (see below), whose sum is σ = 249648828. Its totient is φ = 21905856.

The previous prime is 76677551. The next prime is 76677563. The reversal of 76677552 is 25577667.

It is a junction number, because it is equal to n+sod(n) for n = 76677498 and 76677507.

It is not an unprimeable number, because it can be changed into a prime (76677551) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1623 + ... + 12489.

Almost surely, 2^76677552 is an apocalyptic number.

76677552 is a gapful number since it is divisible by the number (72) 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 76677552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124824414).

76677552 is an abundant number, since it is smaller than the sum of its proper divisors (172971276).

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

76677552 is a wasteful number, since it uses less digits than its factorization.

76677552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10895 (or 10879 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 76677552 is about 8756.5719319834. The cubic root of 76677552 is about 424.8374040075.

The spelling of 76677552 in words is "seventy-six million, six hundred seventy-seven thousand, five hundred fifty-two".