76272840 has 384 divisors, whose sum is σ = 314496000. Its totient is φ = 16236288.

The previous prime is 76272827. The next prime is 76272887. The reversal of 76272840 is 4827267.

76272840 is a `hidden beast` number, since 7 + 627 + 28 + 4 + 0 = 666.

It is a super-2 number, since 2×76272840² = 11635092243331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 76272795 and 76272804.

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, 1292731 + ... + 1292789.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 2^76272840 is an apocalyptic number.

76272840 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 76272840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

76272840 is an abundant number, since it is smaller than the sum of its proper divisors (238223160).

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

76272840 is a wasteful number, since it uses less digits than its factorization.

76272840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 76272840 is about 8733.4323149607. The cubic root of 76272840 is about 424.0886399467.

The spelling of 76272840 in words is "seventy-six million, two hundred seventy-two thousand, eight hundred forty".