76153264 has 40 divisors (see below), whose sum is σ = 162275328. Its totient is φ = 34332480.

The previous prime is 76153261. The next prime is 76153283. The reversal of 76153264 is 46235167.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (76153261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20649 + ... + 24055.

Almost surely, 2^76153264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76153264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81137664).

76153264 is an abundant number, since it is smaller than the sum of its proper divisors (86122064).

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

76153264 is a wasteful number, since it uses less digits than its factorization.

76153264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553 (or 3547 counting only the distinct ones).

The product of its digits is 30240, while the sum is 34.

The square root of 76153264 is about 8726.5837531075. The cubic root of 76153264 is about 423.8669037568.

The spelling of 76153264 in words is "seventy-six million, one hundred fifty-three thousand, two hundred sixty-four".