77495040 has 324 divisors, whose sum is σ = 316631952. Its totient is φ = 17141760.

The previous prime is 77495039. The next prime is 77495069. The reversal of 77495040 is 4059477.

It is a happy number.

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 = 77494986 and 77495004.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2499825 + ... + 2499855.

Almost surely, 2^77495040 is an apocalyptic number.

77495040 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 77495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158315976).

77495040 is an abundant number, since it is smaller than the sum of its proper divisors (239136912).

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

77495040 is a wasteful number, since it uses less digits than its factorization.

77495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 77495040 is about 8803.1267172522. The cubic root of 77495040 is about 426.3418534831.

The spelling of 77495040 in words is "seventy-seven million, four hundred ninety-five thousand, forty".