76579650 has 216 divisors, whose sum is σ = 251394624. Its totient is φ = 16632000.

The previous prime is 76579621. The next prime is 76579651. The reversal of 76579650 is 5697567.

It is a happy number.

76579650 is a `hidden beast` number, since 76 + 579 + 6 + 5 + 0 = 666.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 76579596 and 76579605.

It is not an unprimeable number, because it can be changed into a prime (76579651) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 507075 + ... + 507225.

It is an arithmetic number, because the mean of its divisors is an integer number (1163864).

Almost surely, 2^76579650 is an apocalyptic number.

76579650 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 76579650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125697312).

76579650 is an abundant number, since it is smaller than the sum of its proper divisors (174814974).

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

76579650 is a wasteful number, since it uses less digits than its factorization.

76579650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 76579650 is about 8750.9799451261. The cubic root of 76579650 is about 424.6565160128.

The spelling of 76579650 in words is "seventy-six million, five hundred seventy-nine thousand, six hundred fifty".