76981440 has 224 divisors, whose sum is σ = 266639040. Its totient is φ = 18743296.

The previous prime is 76981427. The next prime is 76981453. The reversal of 76981440 is 4418967.

76981440 = T₈ + T₉ + ... + T₇₇₂.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (76981427) and next prime (76981453).

It is a super-2 number, since 2×76981440² = 11852284208947200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 864916 + ... + 865004.

Almost surely, 2^76981440 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 76981440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133319520).

76981440 is an abundant number, since it is smaller than the sum of its proper divisors (189657600).

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

76981440 is a wasteful number, since it uses less digits than its factorization.

76981440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 76981440 is about 8773.9067695070. The cubic root of 76981440 is about 425.3979018620.

It can be divided in two parts, 76981 and 440, that added together give a triangular number (77421 = T₃₉₃).

The spelling of 76981440 in words is "seventy-six million, nine hundred eighty-one thousand, four hundred forty".