76193040 has 480 divisors, whose sum is σ = 325693440. Its totient is φ = 14515200.

The previous prime is 76193017. The next prime is 76193053. The reversal of 76193040 is 4039167.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 76192989 and 76193007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2457825 + ... + 2457855.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 2^76193040 is an apocalyptic number.

76193040 is a gapful number since it is divisible by the number (70) 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 76193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162846720).

76193040 is an abundant number, since it is smaller than the sum of its proper divisors (249500400).

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

76193040 is a wasteful number, since it uses less digits than its factorization.

76193040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 76193040 is about 8728.8624688444. The cubic root of 76193040 is about 423.9406882740.

The spelling of 76193040 in words is "seventy-six million, one hundred ninety-three thousand, forty".