76162240 has 168 divisors, whose sum is σ = 228636576. Its totient is φ = 23654400.

The previous prime is 76162213. The next prime is 76162253. The reversal of 76162240 is 4226167.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 76162199 and 76162208.

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, 270900 + ... + 271180.

It is an arithmetic number, because the mean of its divisors is an integer number (1360932).

Almost surely, 2^76162240 is an apocalyptic number.

76162240 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 76162240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114318288).

76162240 is an abundant number, since it is smaller than the sum of its proper divisors (152474336).

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

76162240 is a wasteful number, since it uses less digits than its factorization.

76162240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 76162240 is about 8727.0980285545. The cubic root of 76162240 is about 423.8835564896.

It can be divided in two parts, 761 and 62240, that added together give a square (63001 = 251²).

The spelling of 76162240 in words is "seventy-six million, one hundred sixty-two thousand, two hundred forty".