76883840 has 128 divisors (see below), whose sum is σ = 204750720. Its totient is φ = 27371520.

The previous prime is 76883839. The next prime is 76883893. The reversal of 76883840 is 4838867.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×76883840² = 11822249706291200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 76883791 and 76883800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471599 + ... + 471761.

It is an arithmetic number, because the mean of its divisors is an integer number (1599615).

Almost surely, 2^76883840 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 76883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102375360).

76883840 is an abundant number, since it is smaller than the sum of its proper divisors (127866880).

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

76883840 is a wasteful number, since it uses less digits than its factorization.

76883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 76883840 is about 8768.3430589821. The cubic root of 76883840 is about 425.2180472807.

The spelling of 76883840 in words is "seventy-six million, eight hundred eighty-three thousand, eight hundred forty".